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Finding the Fourth Proportional to 3,117.98, 4,301.04 and 1,938.32

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Solution

The fourth proportional to 3,117.98, 4,301.04 and 1,938.32 is: 2,673.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.98 : 4,301.04 = 1,938.32 : x
  2. Step 2: Convert to fraction form
    3,117.98/4,301.04 = 1,938.32/x
  3. Step 3: Cross multiply
    3,117.98x = 4,301.04 × 1,938.32
  4. Step 4: Simplify right side
    3,117.98x = 8,336,791.85
  5. Step 5: Solve for x
    x = 8,336,791.85/3,117.98
  6. Step 6: Final answer
    x = 2,673.78

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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.