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Finding the Fourth Proportional to 3,092.82, 4,268.15 and 1,695.57

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Solution

The fourth proportional to 3,092.82, 4,268.15 and 1,695.57 is: 2,339.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.82 : 4,268.15 = 1,695.57 : x
  2. Step 2: Convert to fraction form
    3,092.82/4,268.15 = 1,695.57/x
  3. Step 3: Cross multiply
    3,092.82x = 4,268.15 × 1,695.57
  4. Step 4: Simplify right side
    3,092.82x = 7,236,938.62
  5. Step 5: Solve for x
    x = 7,236,938.62/3,092.82
  6. Step 6: Final answer
    x = 2,339.92

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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.