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Finding the Fourth Proportional to 3,143.69, 4,716.14 and 1,197.26

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Solution

The fourth proportional to 3,143.69, 4,716.14 and 1,197.26 is: 1,796.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.69 : 4,716.14 = 1,197.26 : x
  2. Step 2: Convert to fraction form
    3,143.69/4,716.14 = 1,197.26/x
  3. Step 3: Cross multiply
    3,143.69x = 4,716.14 × 1,197.26
  4. Step 4: Simplify right side
    3,143.69x = 5,646,445.78
  5. Step 5: Solve for x
    x = 5,646,445.78/3,143.69
  6. Step 6: Final answer
    x = 1,796.12

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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.