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Finding the Fourth Proportional to 2,213.70, 3,320.87 and 1,288.78

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Solution

The fourth proportional to 2,213.70, 3,320.87 and 1,288.78 is: 1,933.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.70 : 3,320.87 = 1,288.78 : x
  2. Step 2: Convert to fraction form
    2,213.70/3,320.87 = 1,288.78/x
  3. Step 3: Cross multiply
    2,213.70x = 3,320.87 × 1,288.78
  4. Step 4: Simplify right side
    2,213.70x = 4,279,856.09
  5. Step 5: Solve for x
    x = 4,279,856.09/2,213.70
  6. Step 6: Final answer
    x = 1,933.35

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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.