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Finding the Fourth Proportional to 4,081.44, 6,123.12 and 1,159.68

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Solution

The fourth proportional to 4,081.44, 6,123.12 and 1,159.68 is: 1,739.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,081.44 : 6,123.12 = 1,159.68 : x
  2. Step 2: Convert to fraction form
    4,081.44/6,123.12 = 1,159.68/x
  3. Step 3: Cross multiply
    4,081.44x = 6,123.12 × 1,159.68
  4. Step 4: Simplify right side
    4,081.44x = 7,100,859.80
  5. Step 5: Solve for x
    x = 7,100,859.80/4,081.44
  6. Step 6: Final answer
    x = 1,739.79

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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.