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Finding the Fourth Proportional to 2,866.59, 4,299.80 and 814.59

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Solution

The fourth proportional to 2,866.59, 4,299.80 and 814.59 is: 1,221.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.59 : 4,299.80 = 814.59 : x
  2. Step 2: Convert to fraction form
    2,866.59/4,299.80 = 814.59/x
  3. Step 3: Cross multiply
    2,866.59x = 4,299.80 × 814.59
  4. Step 4: Simplify right side
    2,866.59x = 3,502,570.01
  5. Step 5: Solve for x
    x = 3,502,570.01/2,866.59
  6. Step 6: Final answer
    x = 1,221.86

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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.