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Finding the Fourth Proportional to 2,586.92, 3,568.79 and 1,591.83

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Solution

The fourth proportional to 2,586.92, 3,568.79 and 1,591.83 is: 2,196.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.92 : 3,568.79 = 1,591.83 : x
  2. Step 2: Convert to fraction form
    2,586.92/3,568.79 = 1,591.83/x
  3. Step 3: Cross multiply
    2,586.92x = 3,568.79 × 1,591.83
  4. Step 4: Simplify right side
    2,586.92x = 5,680,899.03
  5. Step 5: Solve for x
    x = 5,680,899.03/2,586.92
  6. Step 6: Final answer
    x = 2,196.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.