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Finding the Fourth Proportional to 2,286.32, 3,428.52 and 899.44

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Solution

The fourth proportional to 2,286.32, 3,428.52 and 899.44 is: 1,348.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.32 : 3,428.52 = 899.44 : x
  2. Step 2: Convert to fraction form
    2,286.32/3,428.52 = 899.44/x
  3. Step 3: Cross multiply
    2,286.32x = 3,428.52 × 899.44
  4. Step 4: Simplify right side
    2,286.32x = 3,083,748.03
  5. Step 5: Solve for x
    x = 3,083,748.03/2,286.32
  6. Step 6: Final answer
    x = 1,348.78

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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.