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Finding the Fourth Proportional to 2,202.91, 3,297.88 and 1,470.67

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Solution

The fourth proportional to 2,202.91, 3,297.88 and 1,470.67 is: 2,201.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.91 : 3,297.88 = 1,470.67 : x
  2. Step 2: Convert to fraction form
    2,202.91/3,297.88 = 1,470.67/x
  3. Step 3: Cross multiply
    2,202.91x = 3,297.88 × 1,470.67
  4. Step 4: Simplify right side
    2,202.91x = 4,850,093.18
  5. Step 5: Solve for x
    x = 4,850,093.18/2,202.91
  6. Step 6: Final answer
    x = 2,201.68

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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.