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Finding the Fourth Proportional to 2,571.39, 3,548.53 and 1,392.46

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Solution

The fourth proportional to 2,571.39, 3,548.53 and 1,392.46 is: 1,921.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.39 : 3,548.53 = 1,392.46 : x
  2. Step 2: Convert to fraction form
    2,571.39/3,548.53 = 1,392.46/x
  3. Step 3: Cross multiply
    2,571.39x = 3,548.53 × 1,392.46
  4. Step 4: Simplify right side
    2,571.39x = 4,941,186.08
  5. Step 5: Solve for x
    x = 4,941,186.08/2,571.39
  6. Step 6: Final answer
    x = 1,921.60

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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.