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Finding the Fourth Proportional to 2,524.98, 3,788.44 and 881.70

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Solution

The fourth proportional to 2,524.98, 3,788.44 and 881.70 is: 1,322.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.98 : 3,788.44 = 881.70 : x
  2. Step 2: Convert to fraction form
    2,524.98/3,788.44 = 881.70/x
  3. Step 3: Cross multiply
    2,524.98x = 3,788.44 × 881.70
  4. Step 4: Simplify right side
    2,524.98x = 3,340,251.14
  5. Step 5: Solve for x
    x = 3,340,251.14/2,524.98
  6. Step 6: Final answer
    x = 1,322.88

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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.