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Finding the Fourth Proportional to 3,115.69, 4,674.33 and 2,561.31

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Solution

The fourth proportional to 3,115.69, 4,674.33 and 2,561.31 is: 3,842.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.69 : 4,674.33 = 2,561.31 : x
  2. Step 2: Convert to fraction form
    3,115.69/4,674.33 = 2,561.31/x
  3. Step 3: Cross multiply
    3,115.69x = 4,674.33 × 2,561.31
  4. Step 4: Simplify right side
    3,115.69x = 11,972,378.40
  5. Step 5: Solve for x
    x = 11,972,378.40/3,115.69
  6. Step 6: Final answer
    x = 3,842.61

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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.