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Finding the Fourth Proportional to 2,454.42, 3,678.04 and 1,138.58

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Solution

The fourth proportional to 2,454.42, 3,678.04 and 1,138.58 is: 1,706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.42 : 3,678.04 = 1,138.58 : x
  2. Step 2: Convert to fraction form
    2,454.42/3,678.04 = 1,138.58/x
  3. Step 3: Cross multiply
    2,454.42x = 3,678.04 × 1,138.58
  4. Step 4: Simplify right side
    2,454.42x = 4,187,742.78
  5. Step 5: Solve for x
    x = 4,187,742.78/2,454.42
  6. Step 6: Final answer
    x = 1,706.20

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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.