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Finding the Fourth Proportional to 2,571.78, 3,854.42 and 2,225.10

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Solution

The fourth proportional to 2,571.78, 3,854.42 and 2,225.10 is: 3,334.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.78 : 3,854.42 = 2,225.10 : x
  2. Step 2: Convert to fraction form
    2,571.78/3,854.42 = 2,225.10/x
  3. Step 3: Cross multiply
    2,571.78x = 3,854.42 × 2,225.10
  4. Step 4: Simplify right side
    2,571.78x = 8,576,469.94
  5. Step 5: Solve for x
    x = 8,576,469.94/2,571.78
  6. Step 6: Final answer
    x = 3,334.84

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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.