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Finding the Fourth Proportional to 2,568.61, 3,853.04 and 719.85

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Solution

The fourth proportional to 2,568.61, 3,853.04 and 719.85 is: 1,079.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.61 : 3,853.04 = 719.85 : x
  2. Step 2: Convert to fraction form
    2,568.61/3,853.04 = 719.85/x
  3. Step 3: Cross multiply
    2,568.61x = 3,853.04 × 719.85
  4. Step 4: Simplify right side
    2,568.61x = 2,773,621.69
  5. Step 5: Solve for x
    x = 2,773,621.69/2,568.61
  6. Step 6: Final answer
    x = 1,079.81

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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.