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Finding the Fourth Proportional to 2,292.74, 3,163.97 and 1,298.11

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Solution

The fourth proportional to 2,292.74, 3,163.97 and 1,298.11 is: 1,791.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.74 : 3,163.97 = 1,298.11 : x
  2. Step 2: Convert to fraction form
    2,292.74/3,163.97 = 1,298.11/x
  3. Step 3: Cross multiply
    2,292.74x = 3,163.97 × 1,298.11
  4. Step 4: Simplify right side
    2,292.74x = 4,107,181.10
  5. Step 5: Solve for x
    x = 4,107,181.10/2,292.74
  6. Step 6: Final answer
    x = 1,791.39

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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.