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Finding the Fourth Proportional to 2,177.28, 3,266.17 and 716.13

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Solution

The fourth proportional to 2,177.28, 3,266.17 and 716.13 is: 1,074.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.28 : 3,266.17 = 716.13 : x
  2. Step 2: Convert to fraction form
    2,177.28/3,266.17 = 716.13/x
  3. Step 3: Cross multiply
    2,177.28x = 3,266.17 × 716.13
  4. Step 4: Simplify right side
    2,177.28x = 2,339,000.53
  5. Step 5: Solve for x
    x = 2,339,000.53/2,177.28
  6. Step 6: Final answer
    x = 1,074.28

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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.