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Finding the Fourth Proportional to 3,299.88, 4,946.40 and 1,107.87

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Solution

The fourth proportional to 3,299.88, 4,946.40 and 1,107.87 is: 1,660.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.88 : 4,946.40 = 1,107.87 : x
  2. Step 2: Convert to fraction form
    3,299.88/4,946.40 = 1,107.87/x
  3. Step 3: Cross multiply
    3,299.88x = 4,946.40 × 1,107.87
  4. Step 4: Simplify right side
    3,299.88x = 5,479,968.17
  5. Step 5: Solve for x
    x = 5,479,968.17/3,299.88
  6. Step 6: Final answer
    x = 1,660.66

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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.