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Finding the Fourth Proportional to 2,259.14, 3,387.36 and 871.33

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Solution

The fourth proportional to 2,259.14, 3,387.36 and 871.33 is: 1,306.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.14 : 3,387.36 = 871.33 : x
  2. Step 2: Convert to fraction form
    2,259.14/3,387.36 = 871.33/x
  3. Step 3: Cross multiply
    2,259.14x = 3,387.36 × 871.33
  4. Step 4: Simplify right side
    2,259.14x = 2,951,491.45
  5. Step 5: Solve for x
    x = 2,951,491.45/2,259.14
  6. Step 6: Final answer
    x = 1,306.47

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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.