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Finding the Fourth Proportional to 2,218.14, 3,326.94 and 756.90

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Solution

The fourth proportional to 2,218.14, 3,326.94 and 756.90 is: 1,135.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.14 : 3,326.94 = 756.90 : x
  2. Step 2: Convert to fraction form
    2,218.14/3,326.94 = 756.90/x
  3. Step 3: Cross multiply
    2,218.14x = 3,326.94 × 756.90
  4. Step 4: Simplify right side
    2,218.14x = 2,518,160.89
  5. Step 5: Solve for x
    x = 2,518,160.89/2,218.14
  6. Step 6: Final answer
    x = 1,135.26

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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.