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Finding the Fourth Proportional to 2,846.93, 3,927.66 and 1,727.46

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Solution

The fourth proportional to 2,846.93, 3,927.66 and 1,727.46 is: 2,383.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.93 : 3,927.66 = 1,727.46 : x
  2. Step 2: Convert to fraction form
    2,846.93/3,927.66 = 1,727.46/x
  3. Step 3: Cross multiply
    2,846.93x = 3,927.66 × 1,727.46
  4. Step 4: Simplify right side
    2,846.93x = 6,784,875.54
  5. Step 5: Solve for x
    x = 6,784,875.54/2,846.93
  6. Step 6: Final answer
    x = 2,383.23

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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.