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Finding the Fourth Proportional to 2,202.21, 3,301.24 and 740.34

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Solution

The fourth proportional to 2,202.21, 3,301.24 and 740.34 is: 1,109.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.21 : 3,301.24 = 740.34 : x
  2. Step 2: Convert to fraction form
    2,202.21/3,301.24 = 740.34/x
  3. Step 3: Cross multiply
    2,202.21x = 3,301.24 × 740.34
  4. Step 4: Simplify right side
    2,202.21x = 2,444,023.52
  5. Step 5: Solve for x
    x = 2,444,023.52/2,202.21
  6. Step 6: Final answer
    x = 1,109.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.