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Finding the Fourth Proportional to 2,640.75, 3,961.18 and 998.07

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Solution

The fourth proportional to 2,640.75, 3,961.18 and 998.07 is: 1,497.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.75 : 3,961.18 = 998.07 : x
  2. Step 2: Convert to fraction form
    2,640.75/3,961.18 = 998.07/x
  3. Step 3: Cross multiply
    2,640.75x = 3,961.18 × 998.07
  4. Step 4: Simplify right side
    2,640.75x = 3,953,536.17
  5. Step 5: Solve for x
    x = 3,953,536.17/2,640.75
  6. Step 6: Final answer
    x = 1,497.13

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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.