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Finding the Fourth Proportional to 2,331.20, 3,493.69 and 868.88

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Solution

The fourth proportional to 2,331.20, 3,493.69 and 868.88 is: 1,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.20 : 3,493.69 = 868.88 : x
  2. Step 2: Convert to fraction form
    2,331.20/3,493.69 = 868.88/x
  3. Step 3: Cross multiply
    2,331.20x = 3,493.69 × 868.88
  4. Step 4: Simplify right side
    2,331.20x = 3,035,597.37
  5. Step 5: Solve for x
    x = 3,035,597.37/2,331.20
  6. Step 6: Final answer
    x = 1,302.16

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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.