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Finding the Fourth Proportional to 2,180.28, 3,269.34 and 718.68

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Solution

The fourth proportional to 2,180.28, 3,269.34 and 718.68 is: 1,077.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.28 : 3,269.34 = 718.68 : x
  2. Step 2: Convert to fraction form
    2,180.28/3,269.34 = 718.68/x
  3. Step 3: Cross multiply
    2,180.28x = 3,269.34 × 718.68
  4. Step 4: Simplify right side
    2,180.28x = 2,349,609.27
  5. Step 5: Solve for x
    x = 2,349,609.27/2,180.28
  6. Step 6: Final answer
    x = 1,077.66

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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.