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Finding the Fourth Proportional to 2,292.76, 3,164.02 and 1,244.82

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Solution

The fourth proportional to 2,292.76, 3,164.02 and 1,244.82 is: 1,717.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.76 : 3,164.02 = 1,244.82 : x
  2. Step 2: Convert to fraction form
    2,292.76/3,164.02 = 1,244.82/x
  3. Step 3: Cross multiply
    2,292.76x = 3,164.02 × 1,244.82
  4. Step 4: Simplify right side
    2,292.76x = 3,938,635.38
  5. Step 5: Solve for x
    x = 3,938,635.38/2,292.76
  6. Step 6: Final answer
    x = 1,717.86

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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.