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Finding the Fourth Proportional to 3,143.93, 4,717.77 and 1,169.22

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Solution

The fourth proportional to 3,143.93, 4,717.77 and 1,169.22 is: 1,754.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.93 : 4,717.77 = 1,169.22 : x
  2. Step 2: Convert to fraction form
    3,143.93/4,717.77 = 1,169.22/x
  3. Step 3: Cross multiply
    3,143.93x = 4,717.77 × 1,169.22
  4. Step 4: Simplify right side
    3,143.93x = 5,516,111.04
  5. Step 5: Solve for x
    x = 5,516,111.04/3,143.93
  6. Step 6: Final answer
    x = 1,754.53

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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.