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Finding the Fourth Proportional to 2,216.15, 3,326.16 and 1,176.91

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Solution

The fourth proportional to 2,216.15, 3,326.16 and 1,176.91 is: 1,766.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.15 : 3,326.16 = 1,176.91 : x
  2. Step 2: Convert to fraction form
    2,216.15/3,326.16 = 1,176.91/x
  3. Step 3: Cross multiply
    2,216.15x = 3,326.16 × 1,176.91
  4. Step 4: Simplify right side
    2,216.15x = 3,914,590.97
  5. Step 5: Solve for x
    x = 3,914,590.97/2,216.15
  6. Step 6: Final answer
    x = 1,766.39

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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.