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Finding the Fourth Proportional to 2,448.82, 3,673.22 and 987.95

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Solution

The fourth proportional to 2,448.82, 3,673.22 and 987.95 is: 1,481.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.82 : 3,673.22 = 987.95 : x
  2. Step 2: Convert to fraction form
    2,448.82/3,673.22 = 987.95/x
  3. Step 3: Cross multiply
    2,448.82x = 3,673.22 × 987.95
  4. Step 4: Simplify right side
    2,448.82x = 3,628,961.94
  5. Step 5: Solve for x
    x = 3,628,961.94/2,448.82
  6. Step 6: Final answer
    x = 1,481.92

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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.