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Finding the Fourth Proportional to 1,461.24, 2,192.06 and 487.62

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Solution

The fourth proportional to 1,461.24, 2,192.06 and 487.62 is: 731.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.24 : 2,192.06 = 487.62 : x
  2. Step 2: Convert to fraction form
    1,461.24/2,192.06 = 487.62/x
  3. Step 3: Cross multiply
    1,461.24x = 2,192.06 × 487.62
  4. Step 4: Simplify right side
    1,461.24x = 1,068,893.52
  5. Step 5: Solve for x
    x = 1,068,893.52/1,461.24
  6. Step 6: Final answer
    x = 731.50

Related Problems

Find fourth proportional to 730.62, 1,096.03 and 243.81
Half scale
Find fourth proportional to 2,922.48, 4,384.13 and 975.24
Double scale
Find fourth proportional to 1,462.24, 2,193.56 and 488.62
Similar ratio
Find fourth proportional to 2,191.86, 3,288.09 and 731.43
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.