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Finding the Fourth Proportional to 2,454.81, 3,680.14 and 1,067.10

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Solution

The fourth proportional to 2,454.81, 3,680.14 and 1,067.10 is: 1,599.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.81 : 3,680.14 = 1,067.10 : x
  2. Step 2: Convert to fraction form
    2,454.81/3,680.14 = 1,067.10/x
  3. Step 3: Cross multiply
    2,454.81x = 3,680.14 × 1,067.10
  4. Step 4: Simplify right side
    2,454.81x = 3,927,077.39
  5. Step 5: Solve for x
    x = 3,927,077.39/2,454.81
  6. Step 6: Final answer
    x = 1,599.75

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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.