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Finding the Fourth Proportional to 2,241.06, 3,092.14 and 1,650.57

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Solution

The fourth proportional to 2,241.06, 3,092.14 and 1,650.57 is: 2,277.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.06 : 3,092.14 = 1,650.57 : x
  2. Step 2: Convert to fraction form
    2,241.06/3,092.14 = 1,650.57/x
  3. Step 3: Cross multiply
    2,241.06x = 3,092.14 × 1,650.57
  4. Step 4: Simplify right side
    2,241.06x = 5,103,793.52
  5. Step 5: Solve for x
    x = 5,103,793.52/2,241.06
  6. Step 6: Final answer
    x = 2,277.40

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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.