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Finding the Fourth Proportional to 2,177.18, 3,265.77 and 617.20

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Solution

The fourth proportional to 2,177.18, 3,265.77 and 617.20 is: 925.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.18 : 3,265.77 = 617.20 : x
  2. Step 2: Convert to fraction form
    2,177.18/3,265.77 = 617.20/x
  3. Step 3: Cross multiply
    2,177.18x = 3,265.77 × 617.20
  4. Step 4: Simplify right side
    2,177.18x = 2,015,613.83
  5. Step 5: Solve for x
    x = 2,015,613.83/2,177.18
  6. Step 6: Final answer
    x = 925.79

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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.