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Finding the Fourth Proportional to 3,144.86, 4,717.34 and 1,197.17

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Solution

The fourth proportional to 3,144.86, 4,717.34 and 1,197.17 is: 1,795.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.86 : 4,717.34 = 1,197.17 : x
  2. Step 2: Convert to fraction form
    3,144.86/4,717.34 = 1,197.17/x
  3. Step 3: Cross multiply
    3,144.86x = 4,717.34 × 1,197.17
  4. Step 4: Simplify right side
    3,144.86x = 5,647,457.93
  5. Step 5: Solve for x
    x = 5,647,457.93/3,144.86
  6. Step 6: Final answer
    x = 1,795.77

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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.