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Finding the Fourth Proportional to 2,222.42, 3,333.33 and 578.82

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Solution

The fourth proportional to 2,222.42, 3,333.33 and 578.82 is: 868.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.42 : 3,333.33 = 578.82 : x
  2. Step 2: Convert to fraction form
    2,222.42/3,333.33 = 578.82/x
  3. Step 3: Cross multiply
    2,222.42x = 3,333.33 × 578.82
  4. Step 4: Simplify right side
    2,222.42x = 1,929,410.57
  5. Step 5: Solve for x
    x = 1,929,410.57/2,222.42
  6. Step 6: Final answer
    x = 868.16

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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.