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Finding the Fourth Proportional to 2,296.31, 3,168.93 and 1,248.38

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Solution

The fourth proportional to 2,296.31, 3,168.93 and 1,248.38 is: 1,722.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.31 : 3,168.93 = 1,248.38 : x
  2. Step 2: Convert to fraction form
    2,296.31/3,168.93 = 1,248.38/x
  3. Step 3: Cross multiply
    2,296.31x = 3,168.93 × 1,248.38
  4. Step 4: Simplify right side
    2,296.31x = 3,956,028.83
  5. Step 5: Solve for x
    x = 3,956,028.83/2,296.31
  6. Step 6: Final answer
    x = 1,722.78

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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.