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Finding the Fourth Proportional to 3,108.95, 4,288.46 and 1,989.49

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Solution

The fourth proportional to 3,108.95, 4,288.46 and 1,989.49 is: 2,744.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.95 : 4,288.46 = 1,989.49 : x
  2. Step 2: Convert to fraction form
    3,108.95/4,288.46 = 1,989.49/x
  3. Step 3: Cross multiply
    3,108.95x = 4,288.46 × 1,989.49
  4. Step 4: Simplify right side
    3,108.95x = 8,531,848.29
  5. Step 5: Solve for x
    x = 8,531,848.29/3,108.95
  6. Step 6: Final answer
    x = 2,744.29

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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.