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Finding the Fourth Proportional to 2,177.19, 3,265.68 and 617.33

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Solution

The fourth proportional to 2,177.19, 3,265.68 and 617.33 is: 925.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.19 : 3,265.68 = 617.33 : x
  2. Step 2: Convert to fraction form
    2,177.19/3,265.68 = 617.33/x
  3. Step 3: Cross multiply
    2,177.19x = 3,265.68 × 617.33
  4. Step 4: Simplify right side
    2,177.19x = 2,016,012.71
  5. Step 5: Solve for x
    x = 2,016,012.71/2,177.19
  6. Step 6: Final answer
    x = 925.97

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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.