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Finding the Fourth Proportional to 2,517.74, 3,777.52 and 1,285.46

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Solution

The fourth proportional to 2,517.74, 3,777.52 and 1,285.46 is: 1,928.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.74 : 3,777.52 = 1,285.46 : x
  2. Step 2: Convert to fraction form
    2,517.74/3,777.52 = 1,285.46/x
  3. Step 3: Cross multiply
    2,517.74x = 3,777.52 × 1,285.46
  4. Step 4: Simplify right side
    2,517.74x = 4,855,850.86
  5. Step 5: Solve for x
    x = 4,855,850.86/2,517.74
  6. Step 6: Final answer
    x = 1,928.65

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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.