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Finding the Fourth Proportional to 2,701.95, 3,727.83 and 2,132.98

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Solution

The fourth proportional to 2,701.95, 3,727.83 and 2,132.98 is: 2,942.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.95 : 3,727.83 = 2,132.98 : x
  2. Step 2: Convert to fraction form
    2,701.95/3,727.83 = 2,132.98/x
  3. Step 3: Cross multiply
    2,701.95x = 3,727.83 × 2,132.98
  4. Step 4: Simplify right side
    2,701.95x = 7,951,376.17
  5. Step 5: Solve for x
    x = 7,951,376.17/2,701.95
  6. Step 6: Final answer
    x = 2,942.83

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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.