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Finding the Fourth Proportional to 1,672.18, 2,305.47 and 1,147.30

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Solution

The fourth proportional to 1,672.18, 2,305.47 and 1,147.30 is: 1,581.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.18 : 2,305.47 = 1,147.30 : x
  2. Step 2: Convert to fraction form
    1,672.18/2,305.47 = 1,147.30/x
  3. Step 3: Cross multiply
    1,672.18x = 2,305.47 × 1,147.30
  4. Step 4: Simplify right side
    1,672.18x = 2,645,065.73
  5. Step 5: Solve for x
    x = 2,645,065.73/1,672.18
  6. Step 6: Final answer
    x = 1,581.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.