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Finding the Fourth Proportional to 2,006.38, 3,005.49 and 1,637.50

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Solution

The fourth proportional to 2,006.38, 3,005.49 and 1,637.50 is: 2,452.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.38 : 3,005.49 = 1,637.50 : x
  2. Step 2: Convert to fraction form
    2,006.38/3,005.49 = 1,637.50/x
  3. Step 3: Cross multiply
    2,006.38x = 3,005.49 × 1,637.50
  4. Step 4: Simplify right side
    2,006.38x = 4,921,489.88
  5. Step 5: Solve for x
    x = 4,921,489.88/2,006.38
  6. Step 6: Final answer
    x = 2,452.92

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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.