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Finding the Fourth Proportional to 2,162.25, 3,243.78 and 701.01

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Solution

The fourth proportional to 2,162.25, 3,243.78 and 701.01 is: 1,051.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.25 : 3,243.78 = 701.01 : x
  2. Step 2: Convert to fraction form
    2,162.25/3,243.78 = 701.01/x
  3. Step 3: Cross multiply
    2,162.25x = 3,243.78 × 701.01
  4. Step 4: Simplify right side
    2,162.25x = 2,273,922.22
  5. Step 5: Solve for x
    x = 2,273,922.22/2,162.25
  6. Step 6: Final answer
    x = 1,051.65

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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.