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Finding the Fourth Proportional to 2,222.26, 3,332.82 and 661.90

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Solution

The fourth proportional to 2,222.26, 3,332.82 and 661.90 is: 992.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.26 : 3,332.82 = 661.90 : x
  2. Step 2: Convert to fraction form
    2,222.26/3,332.82 = 661.90/x
  3. Step 3: Cross multiply
    2,222.26x = 3,332.82 × 661.90
  4. Step 4: Simplify right side
    2,222.26x = 2,205,993.56
  5. Step 5: Solve for x
    x = 2,205,993.56/2,222.26
  6. Step 6: Final answer
    x = 992.68

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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.