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Finding the Fourth Proportional to 2,222.18, 3,332.70 and 661.82

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Solution

The fourth proportional to 2,222.18, 3,332.70 and 661.82 is: 992.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.18 : 3,332.70 = 661.82 : x
  2. Step 2: Convert to fraction form
    2,222.18/3,332.70 = 661.82/x
  3. Step 3: Cross multiply
    2,222.18x = 3,332.70 × 661.82
  4. Step 4: Simplify right side
    2,222.18x = 2,205,647.51
  5. Step 5: Solve for x
    x = 2,205,647.51/2,222.18
  6. Step 6: Final answer
    x = 992.56

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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.