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Finding the Fourth Proportional to 1,461.81, 2,191.31 and 487.23

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Solution

The fourth proportional to 1,461.81, 2,191.31 and 487.23 is: 730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.81 : 2,191.31 = 487.23 : x
  2. Step 2: Convert to fraction form
    1,461.81/2,191.31 = 487.23/x
  3. Step 3: Cross multiply
    1,461.81x = 2,191.31 × 487.23
  4. Step 4: Simplify right side
    1,461.81x = 1,067,669.54
  5. Step 5: Solve for x
    x = 1,067,669.54/1,461.81
  6. Step 6: Final answer
    x = 730.38

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Double scale
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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.