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Finding the Fourth Proportional to 2,906.16, 4,011.53 and 1,727.22

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Solution

The fourth proportional to 2,906.16, 4,011.53 and 1,727.22 is: 2,384.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.16 : 4,011.53 = 1,727.22 : x
  2. Step 2: Convert to fraction form
    2,906.16/4,011.53 = 1,727.22/x
  3. Step 3: Cross multiply
    2,906.16x = 4,011.53 × 1,727.22
  4. Step 4: Simplify right side
    2,906.16x = 6,928,794.85
  5. Step 5: Solve for x
    x = 6,928,794.85/2,906.16
  6. Step 6: Final answer
    x = 2,384.18

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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.