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Finding the Fourth Proportional to 2,565.15, 3,539.90 and 1,502.72

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Solution

The fourth proportional to 2,565.15, 3,539.90 and 1,502.72 is: 2,073.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.15 : 3,539.90 = 1,502.72 : x
  2. Step 2: Convert to fraction form
    2,565.15/3,539.90 = 1,502.72/x
  3. Step 3: Cross multiply
    2,565.15x = 3,539.90 × 1,502.72
  4. Step 4: Simplify right side
    2,565.15x = 5,319,478.53
  5. Step 5: Solve for x
    x = 5,319,478.53/2,565.15
  6. Step 6: Final answer
    x = 2,073.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.