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Finding the Fourth Proportional to 2,259.87, 3,391.24 and 961.32

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Solution

The fourth proportional to 2,259.87, 3,391.24 and 961.32 is: 1,442.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.87 : 3,391.24 = 961.32 : x
  2. Step 2: Convert to fraction form
    2,259.87/3,391.24 = 961.32/x
  3. Step 3: Cross multiply
    2,259.87x = 3,391.24 × 961.32
  4. Step 4: Simplify right side
    2,259.87x = 3,260,066.84
  5. Step 5: Solve for x
    x = 3,260,066.84/2,259.87
  6. Step 6: Final answer
    x = 1,442.59

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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.