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Finding the Fourth Proportional to 2,212.28, 3,317.63 and 731.23

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Solution

The fourth proportional to 2,212.28, 3,317.63 and 731.23 is: 1,096.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.28 : 3,317.63 = 731.23 : x
  2. Step 2: Convert to fraction form
    2,212.28/3,317.63 = 731.23/x
  3. Step 3: Cross multiply
    2,212.28x = 3,317.63 × 731.23
  4. Step 4: Simplify right side
    2,212.28x = 2,425,950.58
  5. Step 5: Solve for x
    x = 2,425,950.58/2,212.28
  6. Step 6: Final answer
    x = 1,096.58

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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.