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Finding the Fourth Proportional to 2,406.86, 3,616.38 and 2,309.66

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Solution

The fourth proportional to 2,406.86, 3,616.38 and 2,309.66 is: 3,470.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.86 : 3,616.38 = 2,309.66 : x
  2. Step 2: Convert to fraction form
    2,406.86/3,616.38 = 2,309.66/x
  3. Step 3: Cross multiply
    2,406.86x = 3,616.38 × 2,309.66
  4. Step 4: Simplify right side
    2,406.86x = 8,352,608.23
  5. Step 5: Solve for x
    x = 8,352,608.23/2,406.86
  6. Step 6: Final answer
    x = 3,470.33

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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.