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Finding the Fourth Proportional to 2,566.40, 3,850.82 and 1,471.68

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Solution

The fourth proportional to 2,566.40, 3,850.82 and 1,471.68 is: 2,208.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.40 : 3,850.82 = 1,471.68 : x
  2. Step 2: Convert to fraction form
    2,566.40/3,850.82 = 1,471.68/x
  3. Step 3: Cross multiply
    2,566.40x = 3,850.82 × 1,471.68
  4. Step 4: Simplify right side
    2,566.40x = 5,667,174.78
  5. Step 5: Solve for x
    x = 5,667,174.78/2,566.40
  6. Step 6: Final answer
    x = 2,208.22

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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.