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Finding the Fourth Proportional to 2,571.78, 3,549.08 and 1,422.02

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Solution

The fourth proportional to 2,571.78, 3,549.08 and 1,422.02 is: 1,962.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.78 : 3,549.08 = 1,422.02 : x
  2. Step 2: Convert to fraction form
    2,571.78/3,549.08 = 1,422.02/x
  3. Step 3: Cross multiply
    2,571.78x = 3,549.08 × 1,422.02
  4. Step 4: Simplify right side
    2,571.78x = 5,046,837.89
  5. Step 5: Solve for x
    x = 5,046,837.89/2,571.78
  6. Step 6: Final answer
    x = 1,962.39

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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.