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Finding the Fourth Proportional to 3,098.38, 4,274.18 and 1,978.14

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Solution

The fourth proportional to 3,098.38, 4,274.18 and 1,978.14 is: 2,728.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.38 : 4,274.18 = 1,978.14 : x
  2. Step 2: Convert to fraction form
    3,098.38/4,274.18 = 1,978.14/x
  3. Step 3: Cross multiply
    3,098.38x = 4,274.18 × 1,978.14
  4. Step 4: Simplify right side
    3,098.38x = 8,454,927.74
  5. Step 5: Solve for x
    x = 8,454,927.74/3,098.38
  6. Step 6: Final answer
    x = 2,728.82

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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.