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Finding the Fourth Proportional to 3,197.38, 4,794.21 and 1,465.06

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Solution

The fourth proportional to 3,197.38, 4,794.21 and 1,465.06 is: 2,196.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.38 : 4,794.21 = 1,465.06 : x
  2. Step 2: Convert to fraction form
    3,197.38/4,794.21 = 1,465.06/x
  3. Step 3: Cross multiply
    3,197.38x = 4,794.21 × 1,465.06
  4. Step 4: Simplify right side
    3,197.38x = 7,023,805.30
  5. Step 5: Solve for x
    x = 7,023,805.30/3,197.38
  6. Step 6: Final answer
    x = 2,196.74

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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.