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Finding the Fourth Proportional to 2,196.83, 3,295.67 and 716.46

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Solution

The fourth proportional to 2,196.83, 3,295.67 and 716.46 is: 1,074.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.83 : 3,295.67 = 716.46 : x
  2. Step 2: Convert to fraction form
    2,196.83/3,295.67 = 716.46/x
  3. Step 3: Cross multiply
    2,196.83x = 3,295.67 × 716.46
  4. Step 4: Simplify right side
    2,196.83x = 2,361,212.15
  5. Step 5: Solve for x
    x = 2,361,212.15/2,196.83
  6. Step 6: Final answer
    x = 1,074.83

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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.