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Finding the Fourth Proportional to 2,161.03, 3,242.23 and 701.21

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Solution

The fourth proportional to 2,161.03, 3,242.23 and 701.21 is: 1,052.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.03 : 3,242.23 = 701.21 : x
  2. Step 2: Convert to fraction form
    2,161.03/3,242.23 = 701.21/x
  3. Step 3: Cross multiply
    2,161.03x = 3,242.23 × 701.21
  4. Step 4: Simplify right side
    2,161.03x = 2,273,472.21
  5. Step 5: Solve for x
    x = 2,273,472.21/2,161.03
  6. Step 6: Final answer
    x = 1,052.03

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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.