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Finding the Fourth Proportional to 2,280.47, 3,147.90 and 1,575.97

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Solution

The fourth proportional to 2,280.47, 3,147.90 and 1,575.97 is: 2,175.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.47 : 3,147.90 = 1,575.97 : x
  2. Step 2: Convert to fraction form
    2,280.47/3,147.90 = 1,575.97/x
  3. Step 3: Cross multiply
    2,280.47x = 3,147.90 × 1,575.97
  4. Step 4: Simplify right side
    2,280.47x = 4,960,982.18
  5. Step 5: Solve for x
    x = 4,960,982.18/2,280.47
  6. Step 6: Final answer
    x = 2,175.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.