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Finding the Fourth Proportional to 2,568.56, 3,853.49 and 719.69

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Solution

The fourth proportional to 2,568.56, 3,853.49 and 719.69 is: 1,079.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.56 : 3,853.49 = 719.69 : x
  2. Step 2: Convert to fraction form
    2,568.56/3,853.49 = 719.69/x
  3. Step 3: Cross multiply
    2,568.56x = 3,853.49 × 719.69
  4. Step 4: Simplify right side
    2,568.56x = 2,773,295.35
  5. Step 5: Solve for x
    x = 2,773,295.35/2,568.56
  6. Step 6: Final answer
    x = 1,079.71

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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.