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Finding the Fourth Proportional to 1,944.49, 2,912.07 and 1,065.67

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Solution

The fourth proportional to 1,944.49, 2,912.07 and 1,065.67 is: 1,595.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.49 : 2,912.07 = 1,065.67 : x
  2. Step 2: Convert to fraction form
    1,944.49/2,912.07 = 1,065.67/x
  3. Step 3: Cross multiply
    1,944.49x = 2,912.07 × 1,065.67
  4. Step 4: Simplify right side
    1,944.49x = 3,103,305.64
  5. Step 5: Solve for x
    x = 3,103,305.64/1,944.49
  6. Step 6: Final answer
    x = 1,595.95

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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.