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Finding the Fourth Proportional to 3,117.45, 4,302.08 and 1,998.38

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Solution

The fourth proportional to 3,117.45, 4,302.08 and 1,998.38 is: 2,757.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.45 : 4,302.08 = 1,998.38 : x
  2. Step 2: Convert to fraction form
    3,117.45/4,302.08 = 1,998.38/x
  3. Step 3: Cross multiply
    3,117.45x = 4,302.08 × 1,998.38
  4. Step 4: Simplify right side
    3,117.45x = 8,597,191.39
  5. Step 5: Solve for x
    x = 8,597,191.39/3,117.45
  6. Step 6: Final answer
    x = 2,757.77

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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.