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Finding the Fourth Proportional to 2,571.44, 3,548.56 and 1,452.43

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Solution

The fourth proportional to 2,571.44, 3,548.56 and 1,452.43 is: 2,004.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.44 : 3,548.56 = 1,452.43 : x
  2. Step 2: Convert to fraction form
    2,571.44/3,548.56 = 1,452.43/x
  3. Step 3: Cross multiply
    2,571.44x = 3,548.56 × 1,452.43
  4. Step 4: Simplify right side
    2,571.44x = 5,154,035.00
  5. Step 5: Solve for x
    x = 5,154,035.00/2,571.44
  6. Step 6: Final answer
    x = 2,004.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.