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Finding the Fourth Proportional to 1,452.72, 2,180.14 and 1,088.49

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Solution

The fourth proportional to 1,452.72, 2,180.14 and 1,088.49 is: 1,633.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.72 : 2,180.14 = 1,088.49 : x
  2. Step 2: Convert to fraction form
    1,452.72/2,180.14 = 1,088.49/x
  3. Step 3: Cross multiply
    1,452.72x = 2,180.14 × 1,088.49
  4. Step 4: Simplify right side
    1,452.72x = 2,373,057.87
  5. Step 5: Solve for x
    x = 2,373,057.87/1,452.72
  6. Step 6: Final answer
    x = 1,633.53

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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.