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Finding the Fourth Proportional to 2,138.43, 3,207.64 and 1,772.47

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Solution

The fourth proportional to 2,138.43, 3,207.64 and 1,772.47 is: 2,658.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.43 : 3,207.64 = 1,772.47 : x
  2. Step 2: Convert to fraction form
    2,138.43/3,207.64 = 1,772.47/x
  3. Step 3: Cross multiply
    2,138.43x = 3,207.64 × 1,772.47
  4. Step 4: Simplify right side
    2,138.43x = 5,685,445.67
  5. Step 5: Solve for x
    x = 5,685,445.67/2,138.43
  6. Step 6: Final answer
    x = 2,658.70

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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.