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Finding the Fourth Proportional to 2,748.56, 4,123.31 and 899.15

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Solution

The fourth proportional to 2,748.56, 4,123.31 and 899.15 is: 1,348.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.56 : 4,123.31 = 899.15 : x
  2. Step 2: Convert to fraction form
    2,748.56/4,123.31 = 899.15/x
  3. Step 3: Cross multiply
    2,748.56x = 4,123.31 × 899.15
  4. Step 4: Simplify right side
    2,748.56x = 3,707,449.07
  5. Step 5: Solve for x
    x = 3,707,449.07/2,748.56
  6. Step 6: Final answer
    x = 1,348.87

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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.