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Finding the Fourth Proportional to 2,496.32, 3,744.49 and 852.89

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Solution

The fourth proportional to 2,496.32, 3,744.49 and 852.89 is: 1,279.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.32 : 3,744.49 = 852.89 : x
  2. Step 2: Convert to fraction form
    2,496.32/3,744.49 = 852.89/x
  3. Step 3: Cross multiply
    2,496.32x = 3,744.49 × 852.89
  4. Step 4: Simplify right side
    2,496.32x = 3,193,618.82
  5. Step 5: Solve for x
    x = 3,193,618.82/2,496.32
  6. Step 6: Final answer
    x = 1,279.33

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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.