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Finding the Fourth Proportional to 2,781.74, 4,177.37 and 2,470.08

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Solution

The fourth proportional to 2,781.74, 4,177.37 and 2,470.08 is: 3,709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.74 : 4,177.37 = 2,470.08 : x
  2. Step 2: Convert to fraction form
    2,781.74/4,177.37 = 2,470.08/x
  3. Step 3: Cross multiply
    2,781.74x = 4,177.37 × 2,470.08
  4. Step 4: Simplify right side
    2,781.74x = 10,318,425.74
  5. Step 5: Solve for x
    x = 10,318,425.74/2,781.74
  6. Step 6: Final answer
    x = 3,709.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.