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Finding the Fourth Proportional to 2,202.65, 3,039.90 and 1,318.67

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Solution

The fourth proportional to 2,202.65, 3,039.90 and 1,318.67 is: 1,819.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.65 : 3,039.90 = 1,318.67 : x
  2. Step 2: Convert to fraction form
    2,202.65/3,039.90 = 1,318.67/x
  3. Step 3: Cross multiply
    2,202.65x = 3,039.90 × 1,318.67
  4. Step 4: Simplify right side
    2,202.65x = 4,008,624.93
  5. Step 5: Solve for x
    x = 4,008,624.93/2,202.65
  6. Step 6: Final answer
    x = 1,819.91

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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.