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Finding the Fourth Proportional to 2,454.43, 3,678.81 and 1,067.51

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Solution

The fourth proportional to 2,454.43, 3,678.81 and 1,067.51 is: 1,600.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.43 : 3,678.81 = 1,067.51 : x
  2. Step 2: Convert to fraction form
    2,454.43/3,678.81 = 1,067.51/x
  3. Step 3: Cross multiply
    2,454.43x = 3,678.81 × 1,067.51
  4. Step 4: Simplify right side
    2,454.43x = 3,927,166.46
  5. Step 5: Solve for x
    x = 3,927,166.46/2,454.43
  6. Step 6: Final answer
    x = 1,600.03

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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.