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Finding the Fourth Proportional to 3,233.94, 4,460.13 and 1,989.78

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Solution

The fourth proportional to 3,233.94, 4,460.13 and 1,989.78 is: 2,744.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.94 : 4,460.13 = 1,989.78 : x
  2. Step 2: Convert to fraction form
    3,233.94/4,460.13 = 1,989.78/x
  3. Step 3: Cross multiply
    3,233.94x = 4,460.13 × 1,989.78
  4. Step 4: Simplify right side
    3,233.94x = 8,874,677.47
  5. Step 5: Solve for x
    x = 8,874,677.47/3,233.94
  6. Step 6: Final answer
    x = 2,744.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.