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Finding the Fourth Proportional to 1,691.25, 2,539.92 and 1,383.69

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Solution

The fourth proportional to 1,691.25, 2,539.92 and 1,383.69 is: 2,078.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.25 : 2,539.92 = 1,383.69 : x
  2. Step 2: Convert to fraction form
    1,691.25/2,539.92 = 1,383.69/x
  3. Step 3: Cross multiply
    1,691.25x = 2,539.92 × 1,383.69
  4. Step 4: Simplify right side
    1,691.25x = 3,514,461.90
  5. Step 5: Solve for x
    x = 3,514,461.90/1,691.25
  6. Step 6: Final answer
    x = 2,078.03

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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.