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Finding the Fourth Proportional to 2,642.54, 3,960.74 and 998.04

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Solution

The fourth proportional to 2,642.54, 3,960.74 and 998.04 is: 1,495.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.54 : 3,960.74 = 998.04 : x
  2. Step 2: Convert to fraction form
    2,642.54/3,960.74 = 998.04/x
  3. Step 3: Cross multiply
    2,642.54x = 3,960.74 × 998.04
  4. Step 4: Simplify right side
    2,642.54x = 3,952,976.95
  5. Step 5: Solve for x
    x = 3,952,976.95/2,642.54
  6. Step 6: Final answer
    x = 1,495.90

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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.