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Finding the Fourth Proportional to 2,512.74, 3,772.56 and 1,280.98

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Solution

The fourth proportional to 2,512.74, 3,772.56 and 1,280.98 is: 1,923.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.74 : 3,772.56 = 1,280.98 : x
  2. Step 2: Convert to fraction form
    2,512.74/3,772.56 = 1,280.98/x
  3. Step 3: Cross multiply
    2,512.74x = 3,772.56 × 1,280.98
  4. Step 4: Simplify right side
    2,512.74x = 4,832,573.91
  5. Step 5: Solve for x
    x = 4,832,573.91/2,512.74
  6. Step 6: Final answer
    x = 1,923.23

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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.