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Finding the Fourth Proportional to 2,761.74, 4,134.36 and 2,663.31

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Solution

The fourth proportional to 2,761.74, 4,134.36 and 2,663.31 is: 3,987.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.74 : 4,134.36 = 2,663.31 : x
  2. Step 2: Convert to fraction form
    2,761.74/4,134.36 = 2,663.31/x
  3. Step 3: Cross multiply
    2,761.74x = 4,134.36 × 2,663.31
  4. Step 4: Simplify right side
    2,761.74x = 11,011,082.33
  5. Step 5: Solve for x
    x = 11,011,082.33/2,761.74
  6. Step 6: Final answer
    x = 3,987.01

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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.