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Finding the Fourth Proportional to 2,002.92, 3,007.10 and 1,275.80

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Solution

The fourth proportional to 2,002.92, 3,007.10 and 1,275.80 is: 1,915.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.92 : 3,007.10 = 1,275.80 : x
  2. Step 2: Convert to fraction form
    2,002.92/3,007.10 = 1,275.80/x
  3. Step 3: Cross multiply
    2,002.92x = 3,007.10 × 1,275.80
  4. Step 4: Simplify right side
    2,002.92x = 3,836,458.18
  5. Step 5: Solve for x
    x = 3,836,458.18/2,002.92
  6. Step 6: Final answer
    x = 1,915.43

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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.