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Finding the Fourth Proportional to 1,461.91, 2,192.84 and 681.07

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Solution

The fourth proportional to 1,461.91, 2,192.84 and 681.07 is: 1,021.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.91 : 2,192.84 = 681.07 : x
  2. Step 2: Convert to fraction form
    1,461.91/2,192.84 = 681.07/x
  3. Step 3: Cross multiply
    1,461.91x = 2,192.84 × 681.07
  4. Step 4: Simplify right side
    1,461.91x = 1,493,479.62
  5. Step 5: Solve for x
    x = 1,493,479.62/1,461.91
  6. Step 6: Final answer
    x = 1,021.59

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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.