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Finding the Fourth Proportional to 2,487.93, 3,732.23 and 844.03

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Solution

The fourth proportional to 2,487.93, 3,732.23 and 844.03 is: 1,266.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,487.93 : 3,732.23 = 844.03 : x
  2. Step 2: Convert to fraction form
    2,487.93/3,732.23 = 844.03/x
  3. Step 3: Cross multiply
    2,487.93x = 3,732.23 × 844.03
  4. Step 4: Simplify right side
    2,487.93x = 3,150,120.86
  5. Step 5: Solve for x
    x = 3,150,120.86/2,487.93
  6. Step 6: Final answer
    x = 1,266.16

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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.