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Finding the Fourth Proportional to 2,200.24, 3,299.10 and 901

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Solution

The fourth proportional to 2,200.24, 3,299.10 and 901 is: 1,350.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.24 : 3,299.10 = 901 : x
  2. Step 2: Convert to fraction form
    2,200.24/3,299.10 = 901/x
  3. Step 3: Cross multiply
    2,200.24x = 3,299.10 × 901
  4. Step 4: Simplify right side
    2,200.24x = 2,972,489.10
  5. Step 5: Solve for x
    x = 2,972,489.10/2,200.24
  6. Step 6: Final answer
    x = 1,350.98

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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.