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Finding the Fourth Proportional to 2,571.90, 3,861.16 and 1,340.16

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Solution

The fourth proportional to 2,571.90, 3,861.16 and 1,340.16 is: 2,011.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.90 : 3,861.16 = 1,340.16 : x
  2. Step 2: Convert to fraction form
    2,571.90/3,861.16 = 1,340.16/x
  3. Step 3: Cross multiply
    2,571.90x = 3,861.16 × 1,340.16
  4. Step 4: Simplify right side
    2,571.90x = 5,174,572.19
  5. Step 5: Solve for x
    x = 5,174,572.19/2,571.90
  6. Step 6: Final answer
    x = 2,011.96

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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.