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Finding the Fourth Proportional to 1,516.96, 2,274.90 and 542.92

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Solution

The fourth proportional to 1,516.96, 2,274.90 and 542.92 is: 814.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.96 : 2,274.90 = 542.92 : x
  2. Step 2: Convert to fraction form
    1,516.96/2,274.90 = 542.92/x
  3. Step 3: Cross multiply
    1,516.96x = 2,274.90 × 542.92
  4. Step 4: Simplify right side
    1,516.96x = 1,235,088.71
  5. Step 5: Solve for x
    x = 1,235,088.71/1,516.96
  6. Step 6: Final answer
    x = 814.19

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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.