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Finding the Fourth Proportional to 2,251.87, 3,378.11 and 1,019.59

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Solution

The fourth proportional to 2,251.87, 3,378.11 and 1,019.59 is: 1,529.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.87 : 3,378.11 = 1,019.59 : x
  2. Step 2: Convert to fraction form
    2,251.87/3,378.11 = 1,019.59/x
  3. Step 3: Cross multiply
    2,251.87x = 3,378.11 × 1,019.59
  4. Step 4: Simplify right side
    2,251.87x = 3,444,273.63
  5. Step 5: Solve for x
    x = 3,444,273.63/2,251.87
  6. Step 6: Final answer
    x = 1,529.52

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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.