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Finding the Fourth Proportional to 2,571.67, 3,548.88 and 1,452.61

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Solution

The fourth proportional to 2,571.67, 3,548.88 and 1,452.61 is: 2,004.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.67 : 3,548.88 = 1,452.61 : x
  2. Step 2: Convert to fraction form
    2,571.67/3,548.88 = 1,452.61/x
  3. Step 3: Cross multiply
    2,571.67x = 3,548.88 × 1,452.61
  4. Step 4: Simplify right side
    2,571.67x = 5,155,143.01
  5. Step 5: Solve for x
    x = 5,155,143.01/2,571.67
  6. Step 6: Final answer
    x = 2,004.59

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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.