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Finding the Fourth Proportional to 2,177.32, 3,266.39 and 716.53

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Solution

The fourth proportional to 2,177.32, 3,266.39 and 716.53 is: 1,074.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.32 : 3,266.39 = 716.53 : x
  2. Step 2: Convert to fraction form
    2,177.32/3,266.39 = 716.53/x
  3. Step 3: Cross multiply
    2,177.32x = 3,266.39 × 716.53
  4. Step 4: Simplify right side
    2,177.32x = 2,340,466.43
  5. Step 5: Solve for x
    x = 2,340,466.43/2,177.32
  6. Step 6: Final answer
    x = 1,074.93

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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.