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Finding the Fourth Proportional to 2,671.14, 3,682.62 and 2,042.04

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Solution

The fourth proportional to 2,671.14, 3,682.62 and 2,042.04 is: 2,815.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.14 : 3,682.62 = 2,042.04 : x
  2. Step 2: Convert to fraction form
    2,671.14/3,682.62 = 2,042.04/x
  3. Step 3: Cross multiply
    2,671.14x = 3,682.62 × 2,042.04
  4. Step 4: Simplify right side
    2,671.14x = 7,520,057.34
  5. Step 5: Solve for x
    x = 7,520,057.34/2,671.14
  6. Step 6: Final answer
    x = 2,815.30

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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.