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Finding the Fourth Proportional to 1,839.78, 2,760.41 and 865.95

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Solution

The fourth proportional to 1,839.78, 2,760.41 and 865.95 is: 1,299.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839.78 : 2,760.41 = 865.95 : x
  2. Step 2: Convert to fraction form
    1,839.78/2,760.41 = 865.95/x
  3. Step 3: Cross multiply
    1,839.78x = 2,760.41 × 865.95
  4. Step 4: Simplify right side
    1,839.78x = 2,390,372.71
  5. Step 5: Solve for x
    x = 2,390,372.71/1,839.78
  6. Step 6: Final answer
    x = 1,299.27

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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.