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Finding the Fourth Proportional to 2,761.78, 4,144.02 and 1,301.02

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Solution

The fourth proportional to 2,761.78, 4,144.02 and 1,301.02 is: 1,952.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.78 : 4,144.02 = 1,301.02 : x
  2. Step 2: Convert to fraction form
    2,761.78/4,144.02 = 1,301.02/x
  3. Step 3: Cross multiply
    2,761.78x = 4,144.02 × 1,301.02
  4. Step 4: Simplify right side
    2,761.78x = 5,391,452.90
  5. Step 5: Solve for x
    x = 5,391,452.90/2,761.78
  6. Step 6: Final answer
    x = 1,952.17

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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.