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Finding the Fourth Proportional to 3,100.46, 4,274.57 and 2,237.38

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Solution

The fourth proportional to 3,100.46, 4,274.57 and 2,237.38 is: 3,084.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.46 : 4,274.57 = 2,237.38 : x
  2. Step 2: Convert to fraction form
    3,100.46/4,274.57 = 2,237.38/x
  3. Step 3: Cross multiply
    3,100.46x = 4,274.57 × 2,237.38
  4. Step 4: Simplify right side
    3,100.46x = 9,563,843.03
  5. Step 5: Solve for x
    x = 9,563,843.03/3,100.46
  6. Step 6: Final answer
    x = 3,084.65

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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.