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Finding the Fourth Proportional to 1,637.52, 2,455.11 and 844.92

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Solution

The fourth proportional to 1,637.52, 2,455.11 and 844.92 is: 1,266.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.52 : 2,455.11 = 844.92 : x
  2. Step 2: Convert to fraction form
    1,637.52/2,455.11 = 844.92/x
  3. Step 3: Cross multiply
    1,637.52x = 2,455.11 × 844.92
  4. Step 4: Simplify right side
    1,637.52x = 2,074,371.54
  5. Step 5: Solve for x
    x = 2,074,371.54/1,637.52
  6. Step 6: Final answer
    x = 1,266.78

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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.