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Finding the Fourth Proportional to 2,517.57, 3,777 and 1,478.43

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Solution

The fourth proportional to 2,517.57, 3,777 and 1,478.43 is: 2,218.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.57 : 3,777 = 1,478.43 : x
  2. Step 2: Convert to fraction form
    2,517.57/3,777 = 1,478.43/x
  3. Step 3: Cross multiply
    2,517.57x = 3,777 × 1,478.43
  4. Step 4: Simplify right side
    2,517.57x = 5,584,030.11
  5. Step 5: Solve for x
    x = 5,584,030.11/2,517.57
  6. Step 6: Final answer
    x = 2,218.02

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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.