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Finding the Fourth Proportional to 3,196.57, 4,794.86 and 1,465.19

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Solution

The fourth proportional to 3,196.57, 4,794.86 and 1,465.19 is: 2,197.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.57 : 4,794.86 = 1,465.19 : x
  2. Step 2: Convert to fraction form
    3,196.57/4,794.86 = 1,465.19/x
  3. Step 3: Cross multiply
    3,196.57x = 4,794.86 × 1,465.19
  4. Step 4: Simplify right side
    3,196.57x = 7,025,385.58
  5. Step 5: Solve for x
    x = 7,025,385.58/3,196.57
  6. Step 6: Final answer
    x = 2,197.79

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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.