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Finding the Fourth Proportional to 2,487.98, 3,732.30 and 844.10

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Solution

The fourth proportional to 2,487.98, 3,732.30 and 844.10 is: 1,266.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,487.98 : 3,732.30 = 844.10 : x
  2. Step 2: Convert to fraction form
    2,487.98/3,732.30 = 844.10/x
  3. Step 3: Cross multiply
    2,487.98x = 3,732.30 × 844.10
  4. Step 4: Simplify right side
    2,487.98x = 3,150,434.43
  5. Step 5: Solve for x
    x = 3,150,434.43/2,487.98
  6. Step 6: Final answer
    x = 1,266.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.