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Finding the Fourth Proportional to 2,222.26, 3,333.45 and 578.77

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Solution

The fourth proportional to 2,222.26, 3,333.45 and 578.77 is: 868.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.26 : 3,333.45 = 578.77 : x
  2. Step 2: Convert to fraction form
    2,222.26/3,333.45 = 578.77/x
  3. Step 3: Cross multiply
    2,222.26x = 3,333.45 × 578.77
  4. Step 4: Simplify right side
    2,222.26x = 1,929,300.86
  5. Step 5: Solve for x
    x = 1,929,300.86/2,222.26
  6. Step 6: Final answer
    x = 868.17

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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.