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Finding the Fourth Proportional to 2,222.22, 3,332.91 and 578.66

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Solution

The fourth proportional to 2,222.22, 3,332.91 and 578.66 is: 867.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.22 : 3,332.91 = 578.66 : x
  2. Step 2: Convert to fraction form
    2,222.22/3,332.91 = 578.66/x
  3. Step 3: Cross multiply
    2,222.22x = 3,332.91 × 578.66
  4. Step 4: Simplify right side
    2,222.22x = 1,928,625.95
  5. Step 5: Solve for x
    x = 1,928,625.95/2,222.22
  6. Step 6: Final answer
    x = 867.88

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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.