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Finding the Fourth Proportional to 3,175.70, 4,380.42 and 2,478.74

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Solution

The fourth proportional to 3,175.70, 4,380.42 and 2,478.74 is: 3,419.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.70 : 4,380.42 = 2,478.74 : x
  2. Step 2: Convert to fraction form
    3,175.70/4,380.42 = 2,478.74/x
  3. Step 3: Cross multiply
    3,175.70x = 4,380.42 × 2,478.74
  4. Step 4: Simplify right side
    3,175.70x = 10,857,922.27
  5. Step 5: Solve for x
    x = 10,857,922.27/3,175.70
  6. Step 6: Final answer
    x = 3,419.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.