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Finding the Fourth Proportional to 1,798.28, 2,691.72 and 1,180.52

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Solution

The fourth proportional to 1,798.28, 2,691.72 and 1,180.52 is: 1,767.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.28 : 2,691.72 = 1,180.52 : x
  2. Step 2: Convert to fraction form
    1,798.28/2,691.72 = 1,180.52/x
  3. Step 3: Cross multiply
    1,798.28x = 2,691.72 × 1,180.52
  4. Step 4: Simplify right side
    1,798.28x = 3,177,629.29
  5. Step 5: Solve for x
    x = 3,177,629.29/1,798.28
  6. Step 6: Final answer
    x = 1,767.04

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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.