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Finding the Fourth Proportional to 2,008.53, 2,768.96 and 1,731.71

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Solution

The fourth proportional to 2,008.53, 2,768.96 and 1,731.71 is: 2,387.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.53 : 2,768.96 = 1,731.71 : x
  2. Step 2: Convert to fraction form
    2,008.53/2,768.96 = 1,731.71/x
  3. Step 3: Cross multiply
    2,008.53x = 2,768.96 × 1,731.71
  4. Step 4: Simplify right side
    2,008.53x = 4,795,046.97
  5. Step 5: Solve for x
    x = 4,795,046.97/2,008.53
  6. Step 6: Final answer
    x = 2,387.34

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Why These Related Problems?

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