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Finding the Fourth Proportional to 2,866.02, 4,299.11 and 1,478.49

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Solution

The fourth proportional to 2,866.02, 4,299.11 and 1,478.49 is: 2,217.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.02 : 4,299.11 = 1,478.49 : x
  2. Step 2: Convert to fraction form
    2,866.02/4,299.11 = 1,478.49/x
  3. Step 3: Cross multiply
    2,866.02x = 4,299.11 × 1,478.49
  4. Step 4: Simplify right side
    2,866.02x = 6,356,191.14
  5. Step 5: Solve for x
    x = 6,356,191.14/2,866.02
  6. Step 6: Final answer
    x = 2,217.78

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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.