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Finding the Fourth Proportional to 2,259.56, 3,387.38 and 961.96

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Solution

The fourth proportional to 2,259.56, 3,387.38 and 961.96 is: 1,442.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.56 : 3,387.38 = 961.96 : x
  2. Step 2: Convert to fraction form
    2,259.56/3,387.38 = 961.96/x
  3. Step 3: Cross multiply
    2,259.56x = 3,387.38 × 961.96
  4. Step 4: Simplify right side
    2,259.56x = 3,258,524.06
  5. Step 5: Solve for x
    x = 3,258,524.06/2,259.56
  6. Step 6: Final answer
    x = 1,442.11

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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.