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Finding the Fourth Proportional to 2,199.89, 3,301.20 and 901.37

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Solution

The fourth proportional to 2,199.89, 3,301.20 and 901.37 is: 1,352.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.89 : 3,301.20 = 901.37 : x
  2. Step 2: Convert to fraction form
    2,199.89/3,301.20 = 901.37/x
  3. Step 3: Cross multiply
    2,199.89x = 3,301.20 × 901.37
  4. Step 4: Simplify right side
    2,199.89x = 2,975,586.14
  5. Step 5: Solve for x
    x = 2,975,586.14/2,199.89
  6. Step 6: Final answer
    x = 1,352.61

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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.