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Finding the Fourth Proportional to 2,218.12, 3,326.48 and 756.94

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Solution

The fourth proportional to 2,218.12, 3,326.48 and 756.94 is: 1,135.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.12 : 3,326.48 = 756.94 : x
  2. Step 2: Convert to fraction form
    2,218.12/3,326.48 = 756.94/x
  3. Step 3: Cross multiply
    2,218.12x = 3,326.48 × 756.94
  4. Step 4: Simplify right side
    2,218.12x = 2,517,945.77
  5. Step 5: Solve for x
    x = 2,517,945.77/2,218.12
  6. Step 6: Final answer
    x = 1,135.17

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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.