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Finding the Fourth Proportional to 2,138.18, 3,207.69 and 905.58

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Solution

The fourth proportional to 2,138.18, 3,207.69 and 905.58 is: 1,358.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.18 : 3,207.69 = 905.58 : x
  2. Step 2: Convert to fraction form
    2,138.18/3,207.69 = 905.58/x
  3. Step 3: Cross multiply
    2,138.18x = 3,207.69 × 905.58
  4. Step 4: Simplify right side
    2,138.18x = 2,904,819.91
  5. Step 5: Solve for x
    x = 2,904,819.91/2,138.18
  6. Step 6: Final answer
    x = 1,358.55

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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.