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Finding the Fourth Proportional to 2,663.47, 3,988.03 and 1,736.73

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Solution

The fourth proportional to 2,663.47, 3,988.03 and 1,736.73 is: 2,600.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.47 : 3,988.03 = 1,736.73 : x
  2. Step 2: Convert to fraction form
    2,663.47/3,988.03 = 1,736.73/x
  3. Step 3: Cross multiply
    2,663.47x = 3,988.03 × 1,736.73
  4. Step 4: Simplify right side
    2,663.47x = 6,926,123.43
  5. Step 5: Solve for x
    x = 6,926,123.43/2,663.47
  6. Step 6: Final answer
    x = 2,600.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.