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Finding the Fourth Proportional to 2,952.27, 4,074.14 and 1,693.39

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Solution

The fourth proportional to 2,952.27, 4,074.14 and 1,693.39 is: 2,336.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.27 : 4,074.14 = 1,693.39 : x
  2. Step 2: Convert to fraction form
    2,952.27/4,074.14 = 1,693.39/x
  3. Step 3: Cross multiply
    2,952.27x = 4,074.14 × 1,693.39
  4. Step 4: Simplify right side
    2,952.27x = 6,899,107.93
  5. Step 5: Solve for x
    x = 6,899,107.93/2,952.27
  6. Step 6: Final answer
    x = 2,336.88

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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.