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Finding the Fourth Proportional to 3,470.50, 4,789.32 and 2,230.66

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Solution

The fourth proportional to 3,470.50, 4,789.32 and 2,230.66 is: 3,078.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.50 : 4,789.32 = 2,230.66 : x
  2. Step 2: Convert to fraction form
    3,470.50/4,789.32 = 2,230.66/x
  3. Step 3: Cross multiply
    3,470.50x = 4,789.32 × 2,230.66
  4. Step 4: Simplify right side
    3,470.50x = 10,683,344.55
  5. Step 5: Solve for x
    x = 10,683,344.55/3,470.50
  6. Step 6: Final answer
    x = 3,078.33

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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.