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Finding the Fourth Proportional to 2,161.26, 3,242.57 and 700.53

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Solution

The fourth proportional to 2,161.26, 3,242.57 and 700.53 is: 1,051.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.26 : 3,242.57 = 700.53 : x
  2. Step 2: Convert to fraction form
    2,161.26/3,242.57 = 700.53/x
  3. Step 3: Cross multiply
    2,161.26x = 3,242.57 × 700.53
  4. Step 4: Simplify right side
    2,161.26x = 2,271,517.56
  5. Step 5: Solve for x
    x = 2,271,517.56/2,161.26
  6. Step 6: Final answer
    x = 1,051.02

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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.