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Finding the Fourth Proportional to 3,177.38, 4,765.98 and 868.88

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Solution

The fourth proportional to 3,177.38, 4,765.98 and 868.88 is: 1,303.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.38 : 4,765.98 = 868.88 : x
  2. Step 2: Convert to fraction form
    3,177.38/4,765.98 = 868.88/x
  3. Step 3: Cross multiply
    3,177.38x = 4,765.98 × 868.88
  4. Step 4: Simplify right side
    3,177.38x = 4,141,064.70
  5. Step 5: Solve for x
    x = 4,141,064.70/3,177.38
  6. Step 6: Final answer
    x = 1,303.30

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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.