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Finding the Fourth Proportional to 2,591.03, 3,883.97 and 1,342.17

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Solution

The fourth proportional to 2,591.03, 3,883.97 and 1,342.17 is: 2,011.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.03 : 3,883.97 = 1,342.17 : x
  2. Step 2: Convert to fraction form
    2,591.03/3,883.97 = 1,342.17/x
  3. Step 3: Cross multiply
    2,591.03x = 3,883.97 × 1,342.17
  4. Step 4: Simplify right side
    2,591.03x = 5,212,948.01
  5. Step 5: Solve for x
    x = 5,212,948.01/2,591.03
  6. Step 6: Final answer
    x = 2,011.92

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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.