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Finding the Fourth Proportional to 2,448.41, 3,672.77 and 987.57

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Solution

The fourth proportional to 2,448.41, 3,672.77 and 987.57 is: 1,481.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.41 : 3,672.77 = 987.57 : x
  2. Step 2: Convert to fraction form
    2,448.41/3,672.77 = 987.57/x
  3. Step 3: Cross multiply
    2,448.41x = 3,672.77 × 987.57
  4. Step 4: Simplify right side
    2,448.41x = 3,627,112.53
  5. Step 5: Solve for x
    x = 3,627,112.53/2,448.41
  6. Step 6: Final answer
    x = 1,481.42

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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.