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Finding the Fourth Proportional to 3,297.78, 4,552.57 and 2,255.30

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Solution

The fourth proportional to 3,297.78, 4,552.57 and 2,255.30 is: 3,113.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.78 : 4,552.57 = 2,255.30 : x
  2. Step 2: Convert to fraction form
    3,297.78/4,552.57 = 2,255.30/x
  3. Step 3: Cross multiply
    3,297.78x = 4,552.57 × 2,255.30
  4. Step 4: Simplify right side
    3,297.78x = 10,267,411.12
  5. Step 5: Solve for x
    x = 10,267,411.12/3,297.78
  6. Step 6: Final answer
    x = 3,113.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.