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Finding the Fourth Proportional to 2,240.71, 3,092.12 and 1,296.66

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Solution

The fourth proportional to 2,240.71, 3,092.12 and 1,296.66 is: 1,789.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.71 : 3,092.12 = 1,296.66 : x
  2. Step 2: Convert to fraction form
    2,240.71/3,092.12 = 1,296.66/x
  3. Step 3: Cross multiply
    2,240.71x = 3,092.12 × 1,296.66
  4. Step 4: Simplify right side
    2,240.71x = 4,009,406.38
  5. Step 5: Solve for x
    x = 4,009,406.38/2,240.71
  6. Step 6: Final answer
    x = 1,789.35

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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.