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Finding the Fourth Proportional to 2,571.39, 3,549.44 and 1,687.48

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Solution

The fourth proportional to 2,571.39, 3,549.44 and 1,687.48 is: 2,329.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.39 : 3,549.44 = 1,687.48 : x
  2. Step 2: Convert to fraction form
    2,571.39/3,549.44 = 1,687.48/x
  3. Step 3: Cross multiply
    2,571.39x = 3,549.44 × 1,687.48
  4. Step 4: Simplify right side
    2,571.39x = 5,989,604.36
  5. Step 5: Solve for x
    x = 5,989,604.36/2,571.39
  6. Step 6: Final answer
    x = 2,329.33

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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.