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Finding the Fourth Proportional to 3,141.27, 4,703.40 and 1,906.20

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Solution

The fourth proportional to 3,141.27, 4,703.40 and 1,906.20 is: 2,854.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.27 : 4,703.40 = 1,906.20 : x
  2. Step 2: Convert to fraction form
    3,141.27/4,703.40 = 1,906.20/x
  3. Step 3: Cross multiply
    3,141.27x = 4,703.40 × 1,906.20
  4. Step 4: Simplify right side
    3,141.27x = 8,965,621.08
  5. Step 5: Solve for x
    x = 8,965,621.08/3,141.27
  6. Step 6: Final answer
    x = 2,854.14

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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.