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Finding the Fourth Proportional to 2,202.90, 3,302.27 and 741.03

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Solution

The fourth proportional to 2,202.90, 3,302.27 and 741.03 is: 1,110.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.90 : 3,302.27 = 741.03 : x
  2. Step 2: Convert to fraction form
    2,202.90/3,302.27 = 741.03/x
  3. Step 3: Cross multiply
    2,202.90x = 3,302.27 × 741.03
  4. Step 4: Simplify right side
    2,202.90x = 2,447,081.14
  5. Step 5: Solve for x
    x = 2,447,081.14/2,202.90
  6. Step 6: Final answer
    x = 1,110.85

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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.