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Finding the Fourth Proportional to 2,454.15, 3,680.51 and 1,067.16

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Solution

The fourth proportional to 2,454.15, 3,680.51 and 1,067.16 is: 1,600.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.15 : 3,680.51 = 1,067.16 : x
  2. Step 2: Convert to fraction form
    2,454.15/3,680.51 = 1,067.16/x
  3. Step 3: Cross multiply
    2,454.15x = 3,680.51 × 1,067.16
  4. Step 4: Simplify right side
    2,454.15x = 3,927,687.72
  5. Step 5: Solve for x
    x = 3,927,687.72/2,454.15
  6. Step 6: Final answer
    x = 1,600.43

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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.