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Finding the Fourth Proportional to 2,740.41, 3,781.87 and 1,545.87

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Solution

The fourth proportional to 2,740.41, 3,781.87 and 1,545.87 is: 2,133.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.41 : 3,781.87 = 1,545.87 : x
  2. Step 2: Convert to fraction form
    2,740.41/3,781.87 = 1,545.87/x
  3. Step 3: Cross multiply
    2,740.41x = 3,781.87 × 1,545.87
  4. Step 4: Simplify right side
    2,740.41x = 5,846,279.38
  5. Step 5: Solve for x
    x = 5,846,279.38/2,740.41
  6. Step 6: Final answer
    x = 2,133.36

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Why These Related Problems?

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