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Finding the Fourth Proportional to 2,731.06, 3,766.83 and 2,140.42

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Solution

The fourth proportional to 2,731.06, 3,766.83 and 2,140.42 is: 2,952.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.06 : 3,766.83 = 2,140.42 : x
  2. Step 2: Convert to fraction form
    2,731.06/3,766.83 = 2,140.42/x
  3. Step 3: Cross multiply
    2,731.06x = 3,766.83 × 2,140.42
  4. Step 4: Simplify right side
    2,731.06x = 8,062,598.27
  5. Step 5: Solve for x
    x = 8,062,598.27/2,731.06
  6. Step 6: Final answer
    x = 2,952.19

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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.