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Finding the Fourth Proportional to 2,418.76, 3,627.23 and 1,642.98

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Solution

The fourth proportional to 2,418.76, 3,627.23 and 1,642.98 is: 2,463.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.76 : 3,627.23 = 1,642.98 : x
  2. Step 2: Convert to fraction form
    2,418.76/3,627.23 = 1,642.98/x
  3. Step 3: Cross multiply
    2,418.76x = 3,627.23 × 1,642.98
  4. Step 4: Simplify right side
    2,418.76x = 5,959,480.97
  5. Step 5: Solve for x
    x = 5,959,480.97/2,418.76
  6. Step 6: Final answer
    x = 2,463.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.