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Finding the Fourth Proportional to 3,432.57, 4,736.68 and 1,940.65

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Solution

The fourth proportional to 3,432.57, 4,736.68 and 1,940.65 is: 2,677.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.57 : 4,736.68 = 1,940.65 : x
  2. Step 2: Convert to fraction form
    3,432.57/4,736.68 = 1,940.65/x
  3. Step 3: Cross multiply
    3,432.57x = 4,736.68 × 1,940.65
  4. Step 4: Simplify right side
    3,432.57x = 9,192,221.35
  5. Step 5: Solve for x
    x = 9,192,221.35/3,432.57
  6. Step 6: Final answer
    x = 2,677.94

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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.