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Finding the Fourth Proportional to 2,807.41, 3,874.08 and 1,565.17

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Solution

The fourth proportional to 2,807.41, 3,874.08 and 1,565.17 is: 2,159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.41 : 3,874.08 = 1,565.17 : x
  2. Step 2: Convert to fraction form
    2,807.41/3,874.08 = 1,565.17/x
  3. Step 3: Cross multiply
    2,807.41x = 3,874.08 × 1,565.17
  4. Step 4: Simplify right side
    2,807.41x = 6,063,593.79
  5. Step 5: Solve for x
    x = 6,063,593.79/2,807.41
  6. Step 6: Final answer
    x = 2,159.85

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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.