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Finding the Fourth Proportional to 3,098.88, 4,274.87 and 1,978.64

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Solution

The fourth proportional to 3,098.88, 4,274.87 and 1,978.64 is: 2,729.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.88 : 4,274.87 = 1,978.64 : x
  2. Step 2: Convert to fraction form
    3,098.88/4,274.87 = 1,978.64/x
  3. Step 3: Cross multiply
    3,098.88x = 4,274.87 × 1,978.64
  4. Step 4: Simplify right side
    3,098.88x = 8,458,428.78
  5. Step 5: Solve for x
    x = 8,458,428.78/3,098.88
  6. Step 6: Final answer
    x = 2,729.51

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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.