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Finding the Fourth Proportional to 3,297.80, 4,946.17 and 1,218.78

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Solution

The fourth proportional to 3,297.80, 4,946.17 and 1,218.78 is: 1,827.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.80 : 4,946.17 = 1,218.78 : x
  2. Step 2: Convert to fraction form
    3,297.80/4,946.17 = 1,218.78/x
  3. Step 3: Cross multiply
    3,297.80x = 4,946.17 × 1,218.78
  4. Step 4: Simplify right side
    3,297.80x = 6,028,299.34
  5. Step 5: Solve for x
    x = 6,028,299.34/3,297.80
  6. Step 6: Final answer
    x = 1,827.98

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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.