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Finding the Fourth Proportional to 2,693.78, 4,040.70 and 2,327.48

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Solution

The fourth proportional to 2,693.78, 4,040.70 and 2,327.48 is: 3,491.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.78 : 4,040.70 = 2,327.48 : x
  2. Step 2: Convert to fraction form
    2,693.78/4,040.70 = 2,327.48/x
  3. Step 3: Cross multiply
    2,693.78x = 4,040.70 × 2,327.48
  4. Step 4: Simplify right side
    2,693.78x = 9,404,648.44
  5. Step 5: Solve for x
    x = 9,404,648.44/2,693.78
  6. Step 6: Final answer
    x = 3,491.25

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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.