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Finding the Fourth Proportional to 3,297.18, 4,946.81 and 1,449.85

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Solution

The fourth proportional to 3,297.18, 4,946.81 and 1,449.85 is: 2,175.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.18 : 4,946.81 = 1,449.85 : x
  2. Step 2: Convert to fraction form
    3,297.18/4,946.81 = 1,449.85/x
  3. Step 3: Cross multiply
    3,297.18x = 4,946.81 × 1,449.85
  4. Step 4: Simplify right side
    3,297.18x = 7,172,132.48
  5. Step 5: Solve for x
    x = 7,172,132.48/3,297.18
  6. Step 6: Final answer
    x = 2,175.23

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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.