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Finding the Fourth Proportional to 2,730.76, 4,093.98 and 2,727.40

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Solution

The fourth proportional to 2,730.76, 4,093.98 and 2,727.40 is: 4,088.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.76 : 4,093.98 = 2,727.40 : x
  2. Step 2: Convert to fraction form
    2,730.76/4,093.98 = 2,727.40/x
  3. Step 3: Cross multiply
    2,730.76x = 4,093.98 × 2,727.40
  4. Step 4: Simplify right side
    2,730.76x = 11,165,921.05
  5. Step 5: Solve for x
    x = 11,165,921.05/2,730.76
  6. Step 6: Final answer
    x = 4,088.94

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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.