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Finding the Fourth Proportional to 2,566.52, 3,842.62 and 1,331.28

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Solution

The fourth proportional to 2,566.52, 3,842.62 and 1,331.28 is: 1,993.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.52 : 3,842.62 = 1,331.28 : x
  2. Step 2: Convert to fraction form
    2,566.52/3,842.62 = 1,331.28/x
  3. Step 3: Cross multiply
    2,566.52x = 3,842.62 × 1,331.28
  4. Step 4: Simplify right side
    2,566.52x = 5,115,603.15
  5. Step 5: Solve for x
    x = 5,115,603.15/2,566.52
  6. Step 6: Final answer
    x = 1,993.21

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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.