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Finding the Fourth Proportional to 3,186.78, 4,397.70 and 1,944.78

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Solution

The fourth proportional to 3,186.78, 4,397.70 and 1,944.78 is: 2,683.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.78 : 4,397.70 = 1,944.78 : x
  2. Step 2: Convert to fraction form
    3,186.78/4,397.70 = 1,944.78/x
  3. Step 3: Cross multiply
    3,186.78x = 4,397.70 × 1,944.78
  4. Step 4: Simplify right side
    3,186.78x = 8,552,559.01
  5. Step 5: Solve for x
    x = 8,552,559.01/3,186.78
  6. Step 6: Final answer
    x = 2,683.76

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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.