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Finding the Fourth Proportional to 1,565.04, 2,347.92 and 916.14

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Solution

The fourth proportional to 1,565.04, 2,347.92 and 916.14 is: 1,374.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.04 : 2,347.92 = 916.14 : x
  2. Step 2: Convert to fraction form
    1,565.04/2,347.92 = 916.14/x
  3. Step 3: Cross multiply
    1,565.04x = 2,347.92 × 916.14
  4. Step 4: Simplify right side
    1,565.04x = 2,151,023.43
  5. Step 5: Solve for x
    x = 2,151,023.43/1,565.04
  6. Step 6: Final answer
    x = 1,374.42

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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.