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Finding the Fourth Proportional to 2,496.38, 3,744.34 and 853.10

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Solution

The fourth proportional to 2,496.38, 3,744.34 and 853.10 is: 1,279.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.38 : 3,744.34 = 853.10 : x
  2. Step 2: Convert to fraction form
    2,496.38/3,744.34 = 853.10/x
  3. Step 3: Cross multiply
    2,496.38x = 3,744.34 × 853.10
  4. Step 4: Simplify right side
    2,496.38x = 3,194,273.47
  5. Step 5: Solve for x
    x = 3,194,273.47/2,496.38
  6. Step 6: Final answer
    x = 1,279.56

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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.