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Finding the Fourth Proportional to 2,212.40, 3,319.12 and 673.44

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Solution

The fourth proportional to 2,212.40, 3,319.12 and 673.44 is: 1,010.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.40 : 3,319.12 = 673.44 : x
  2. Step 2: Convert to fraction form
    2,212.40/3,319.12 = 673.44/x
  3. Step 3: Cross multiply
    2,212.40x = 3,319.12 × 673.44
  4. Step 4: Simplify right side
    2,212.40x = 2,235,228.17
  5. Step 5: Solve for x
    x = 2,235,228.17/2,212.40
  6. Step 6: Final answer
    x = 1,010.32

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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.