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Finding the Fourth Proportional to 2,642.27, 3,963.55 and 998.67

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Solution

The fourth proportional to 2,642.27, 3,963.55 and 998.67 is: 1,498.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.27 : 3,963.55 = 998.67 : x
  2. Step 2: Convert to fraction form
    2,642.27/3,963.55 = 998.67/x
  3. Step 3: Cross multiply
    2,642.27x = 3,963.55 × 998.67
  4. Step 4: Simplify right side
    2,642.27x = 3,958,275.98
  5. Step 5: Solve for x
    x = 3,958,275.98/2,642.27
  6. Step 6: Final answer
    x = 1,498.06

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