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Finding the Fourth Proportional to 3,249.65, 4,484.43 and 1,923.38

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Solution

The fourth proportional to 3,249.65, 4,484.43 and 1,923.38 is: 2,654.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.65 : 4,484.43 = 1,923.38 : x
  2. Step 2: Convert to fraction form
    3,249.65/4,484.43 = 1,923.38/x
  3. Step 3: Cross multiply
    3,249.65x = 4,484.43 × 1,923.38
  4. Step 4: Simplify right side
    3,249.65x = 8,625,240.55
  5. Step 5: Solve for x
    x = 8,625,240.55/3,249.65
  6. Step 6: Final answer
    x = 2,654.21

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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.