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Finding the Fourth Proportional to 2,343.65, 3,233.39 and 1,434.85

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Solution

The fourth proportional to 2,343.65, 3,233.39 and 1,434.85 is: 1,979.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.65 : 3,233.39 = 1,434.85 : x
  2. Step 2: Convert to fraction form
    2,343.65/3,233.39 = 1,434.85/x
  3. Step 3: Cross multiply
    2,343.65x = 3,233.39 × 1,434.85
  4. Step 4: Simplify right side
    2,343.65x = 4,639,414.38
  5. Step 5: Solve for x
    x = 4,639,414.38/2,343.65
  6. Step 6: Final answer
    x = 1,979.57

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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.