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Finding the Fourth Proportional to 2,061.91, 2,845.94 and 1,178.22

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Solution

The fourth proportional to 2,061.91, 2,845.94 and 1,178.22 is: 1,626.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.91 : 2,845.94 = 1,178.22 : x
  2. Step 2: Convert to fraction form
    2,061.91/2,845.94 = 1,178.22/x
  3. Step 3: Cross multiply
    2,061.91x = 2,845.94 × 1,178.22
  4. Step 4: Simplify right side
    2,061.91x = 3,353,143.43
  5. Step 5: Solve for x
    x = 3,353,143.43/2,061.91
  6. Step 6: Final answer
    x = 1,626.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.