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Finding the Fourth Proportional to 2,693.55, 4,040.33 and 961.83

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Solution

The fourth proportional to 2,693.55, 4,040.33 and 961.83 is: 1,442.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.55 : 4,040.33 = 961.83 : x
  2. Step 2: Convert to fraction form
    2,693.55/4,040.33 = 961.83/x
  3. Step 3: Cross multiply
    2,693.55x = 4,040.33 × 961.83
  4. Step 4: Simplify right side
    2,693.55x = 3,886,105.79
  5. Step 5: Solve for x
    x = 3,886,105.79/2,693.55
  6. Step 6: Final answer
    x = 1,442.75

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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.