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Finding the Fourth Proportional to 2,456.66, 3,680.88 and 1,067.91

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Solution

The fourth proportional to 2,456.66, 3,680.88 and 1,067.91 is: 1,600.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.66 : 3,680.88 = 1,067.91 : x
  2. Step 2: Convert to fraction form
    2,456.66/3,680.88 = 1,067.91/x
  3. Step 3: Cross multiply
    2,456.66x = 3,680.88 × 1,067.91
  4. Step 4: Simplify right side
    2,456.66x = 3,930,857.76
  5. Step 5: Solve for x
    x = 3,930,857.76/2,456.66
  6. Step 6: Final answer
    x = 1,600.08

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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.