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Finding the Fourth Proportional to 2,248.68, 3,369.78 and 1,600.68

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Solution

The fourth proportional to 2,248.68, 3,369.78 and 1,600.68 is: 2,398.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.68 : 3,369.78 = 1,600.68 : x
  2. Step 2: Convert to fraction form
    2,248.68/3,369.78 = 1,600.68/x
  3. Step 3: Cross multiply
    2,248.68x = 3,369.78 × 1,600.68
  4. Step 4: Simplify right side
    2,248.68x = 5,393,939.45
  5. Step 5: Solve for x
    x = 5,393,939.45/2,248.68
  6. Step 6: Final answer
    x = 2,398.71

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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.