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Finding the Fourth Proportional to 3,006.50, 4,151.18 and 1,944.90

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Solution

The fourth proportional to 3,006.50, 4,151.18 and 1,944.90 is: 2,685.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.50 : 4,151.18 = 1,944.90 : x
  2. Step 2: Convert to fraction form
    3,006.50/4,151.18 = 1,944.90/x
  3. Step 3: Cross multiply
    3,006.50x = 4,151.18 × 1,944.90
  4. Step 4: Simplify right side
    3,006.50x = 8,073,634.84
  5. Step 5: Solve for x
    x = 8,073,634.84/3,006.50
  6. Step 6: Final answer
    x = 2,685.40

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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.