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Finding the Fourth Proportional to 2,134, 3,202.26 and 901.33

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Solution

The fourth proportional to 2,134, 3,202.26 and 901.33 is: 1,352.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134 : 3,202.26 = 901.33 : x
  2. Step 2: Convert to fraction form
    2,134/3,202.26 = 901.33/x
  3. Step 3: Cross multiply
    2,134x = 3,202.26 × 901.33
  4. Step 4: Simplify right side
    2,134x = 2,886,293.01
  5. Step 5: Solve for x
    x = 2,886,293.01/2,134
  6. Step 6: Final answer
    x = 1,352.53

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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.