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Finding the Fourth Proportional to 3,151.32, 4,348.78 and 1,824.94

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Solution

The fourth proportional to 3,151.32, 4,348.78 and 1,824.94 is: 2,518.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.32 : 4,348.78 = 1,824.94 : x
  2. Step 2: Convert to fraction form
    3,151.32/4,348.78 = 1,824.94/x
  3. Step 3: Cross multiply
    3,151.32x = 4,348.78 × 1,824.94
  4. Step 4: Simplify right side
    3,151.32x = 7,936,262.57
  5. Step 5: Solve for x
    x = 7,936,262.57/3,151.32
  6. Step 6: Final answer
    x = 2,518.39

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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.