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Finding the Fourth Proportional to 2,571.00, 3,856.03 and 721.65

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Solution

The fourth proportional to 2,571.00, 3,856.03 and 721.65 is: 1,082.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.00 : 3,856.03 = 721.65 : x
  2. Step 2: Convert to fraction form
    2,571.00/3,856.03 = 721.65/x
  3. Step 3: Cross multiply
    2,571.00x = 3,856.03 × 721.65
  4. Step 4: Simplify right side
    2,571.00x = 2,782,716.71
  5. Step 5: Solve for x
    x = 2,782,716.71/2,571.00
  6. Step 6: Final answer
    x = 1,082.35

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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.