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Finding the Fourth Proportional to 3,177.20, 4,765.79 and 868.70

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Solution

The fourth proportional to 3,177.20, 4,765.79 and 868.70 is: 1,303.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.20 : 4,765.79 = 868.70 : x
  2. Step 2: Convert to fraction form
    3,177.20/4,765.79 = 868.70/x
  3. Step 3: Cross multiply
    3,177.20x = 4,765.79 × 868.70
  4. Step 4: Simplify right side
    3,177.20x = 4,140,013.60
  5. Step 5: Solve for x
    x = 4,140,013.60/3,177.20
  6. Step 6: Final answer
    x = 1,303.04

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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.