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Finding the Fourth Proportional to 3,177.03, 4,765.61 and 868.53

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Solution

The fourth proportional to 3,177.03, 4,765.61 and 868.53 is: 1,302.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.03 : 4,765.61 = 868.53 : x
  2. Step 2: Convert to fraction form
    3,177.03/4,765.61 = 868.53/x
  3. Step 3: Cross multiply
    3,177.03x = 4,765.61 × 868.53
  4. Step 4: Simplify right side
    3,177.03x = 4,139,070.91
  5. Step 5: Solve for x
    x = 4,139,070.91/3,177.03
  6. Step 6: Final answer
    x = 1,302.81

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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.