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Finding the Fourth Proportional to 2,866.24, 4,299.40 and 814.24

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Solution

The fourth proportional to 2,866.24, 4,299.40 and 814.24 is: 1,221.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.24 : 4,299.40 = 814.24 : x
  2. Step 2: Convert to fraction form
    2,866.24/4,299.40 = 814.24/x
  3. Step 3: Cross multiply
    2,866.24x = 4,299.40 × 814.24
  4. Step 4: Simplify right side
    2,866.24x = 3,500,743.46
  5. Step 5: Solve for x
    x = 3,500,743.46/2,866.24
  6. Step 6: Final answer
    x = 1,221.37

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1.5x scale

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.