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Finding the Fourth Proportional to 3,297.65, 4,943.70 and 2,255.11

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Solution

The fourth proportional to 3,297.65, 4,943.70 and 2,255.11 is: 3,380.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.65 : 4,943.70 = 2,255.11 : x
  2. Step 2: Convert to fraction form
    3,297.65/4,943.70 = 2,255.11/x
  3. Step 3: Cross multiply
    3,297.65x = 4,943.70 × 2,255.11
  4. Step 4: Simplify right side
    3,297.65x = 11,148,574.95
  5. Step 5: Solve for x
    x = 11,148,574.95/3,297.65
  6. Step 6: Final answer
    x = 3,380.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.