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Finding the Fourth Proportional to 2,324.68, 3,487.10 and 1,092.08

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Solution

The fourth proportional to 2,324.68, 3,487.10 and 1,092.08 is: 1,638.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.68 : 3,487.10 = 1,092.08 : x
  2. Step 2: Convert to fraction form
    2,324.68/3,487.10 = 1,092.08/x
  3. Step 3: Cross multiply
    2,324.68x = 3,487.10 × 1,092.08
  4. Step 4: Simplify right side
    2,324.68x = 3,808,192.17
  5. Step 5: Solve for x
    x = 3,808,192.17/2,324.68
  6. Step 6: Final answer
    x = 1,638.16

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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.