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Finding the Fourth Proportional to 2,216.36, 3,326.84 and 2,166.72

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Solution

The fourth proportional to 2,216.36, 3,326.84 and 2,166.72 is: 3,252.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.36 : 3,326.84 = 2,166.72 : x
  2. Step 2: Convert to fraction form
    2,216.36/3,326.84 = 2,166.72/x
  3. Step 3: Cross multiply
    2,216.36x = 3,326.84 × 2,166.72
  4. Step 4: Simplify right side
    2,216.36x = 7,208,330.76
  5. Step 5: Solve for x
    x = 7,208,330.76/2,216.36
  6. Step 6: Final answer
    x = 3,252.33

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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.