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Finding the Fourth Proportional to 2,740.80, 3,781.04 and 2,426.39

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Solution

The fourth proportional to 2,740.80, 3,781.04 and 2,426.39 is: 3,347.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.80 : 3,781.04 = 2,426.39 : x
  2. Step 2: Convert to fraction form
    2,740.80/3,781.04 = 2,426.39/x
  3. Step 3: Cross multiply
    2,740.80x = 3,781.04 × 2,426.39
  4. Step 4: Simplify right side
    2,740.80x = 9,174,246.61
  5. Step 5: Solve for x
    x = 9,174,246.61/2,740.80
  6. Step 6: Final answer
    x = 3,347.29

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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.