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Finding the Fourth Proportional to 2,693.50, 4,040.20 and 1,306.96

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Solution

The fourth proportional to 2,693.50, 4,040.20 and 1,306.96 is: 1,960.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.50 : 4,040.20 = 1,306.96 : x
  2. Step 2: Convert to fraction form
    2,693.50/4,040.20 = 1,306.96/x
  3. Step 3: Cross multiply
    2,693.50x = 4,040.20 × 1,306.96
  4. Step 4: Simplify right side
    2,693.50x = 5,280,379.79
  5. Step 5: Solve for x
    x = 5,280,379.79/2,693.50
  6. Step 6: Final answer
    x = 1,960.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.