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Finding the Fourth Proportional to 2,306.14, 3,471.52 and 2,068

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Solution

The fourth proportional to 2,306.14, 3,471.52 and 2,068 is: 3,113.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.14 : 3,471.52 = 2,068 : x
  2. Step 2: Convert to fraction form
    2,306.14/3,471.52 = 2,068/x
  3. Step 3: Cross multiply
    2,306.14x = 3,471.52 × 2,068
  4. Step 4: Simplify right side
    2,306.14x = 7,179,103.36
  5. Step 5: Solve for x
    x = 7,179,103.36/2,306.14
  6. Step 6: Final answer
    x = 3,113.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.