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Finding the Fourth Proportional to 3,123.39, 4,310.19 and 1,796.16

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Solution

The fourth proportional to 3,123.39, 4,310.19 and 1,796.16 is: 2,478.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.39 : 4,310.19 = 1,796.16 : x
  2. Step 2: Convert to fraction form
    3,123.39/4,310.19 = 1,796.16/x
  3. Step 3: Cross multiply
    3,123.39x = 4,310.19 × 1,796.16
  4. Step 4: Simplify right side
    3,123.39x = 7,741,790.87
  5. Step 5: Solve for x
    x = 7,741,790.87/3,123.39
  6. Step 6: Final answer
    x = 2,478.65

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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.