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Finding the Fourth Proportional to 2,432.97, 3,640.81 and 1,782.09

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Solution

The fourth proportional to 2,432.97, 3,640.81 and 1,782.09 is: 2,666.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.97 : 3,640.81 = 1,782.09 : x
  2. Step 2: Convert to fraction form
    2,432.97/3,640.81 = 1,782.09/x
  3. Step 3: Cross multiply
    2,432.97x = 3,640.81 × 1,782.09
  4. Step 4: Simplify right side
    2,432.97x = 6,488,251.09
  5. Step 5: Solve for x
    x = 6,488,251.09/2,432.97
  6. Step 6: Final answer
    x = 2,666.80

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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.