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Finding the Fourth Proportional to 1,944.45, 2,914.83 and 969.63

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Solution

The fourth proportional to 1,944.45, 2,914.83 and 969.63 is: 1,453.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.45 : 2,914.83 = 969.63 : x
  2. Step 2: Convert to fraction form
    1,944.45/2,914.83 = 969.63/x
  3. Step 3: Cross multiply
    1,944.45x = 2,914.83 × 969.63
  4. Step 4: Simplify right side
    1,944.45x = 2,826,306.61
  5. Step 5: Solve for x
    x = 2,826,306.61/1,944.45
  6. Step 6: Final answer
    x = 1,453.52

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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.