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Finding the Fourth Proportional to 2,727.65, 4,091.46 and 1,266

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Solution

The fourth proportional to 2,727.65, 4,091.46 and 1,266 is: 1,899.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.65 : 4,091.46 = 1,266 : x
  2. Step 2: Convert to fraction form
    2,727.65/4,091.46 = 1,266/x
  3. Step 3: Cross multiply
    2,727.65x = 4,091.46 × 1,266
  4. Step 4: Simplify right side
    2,727.65x = 5,179,788.36
  5. Step 5: Solve for x
    x = 5,179,788.36/2,727.65
  6. Step 6: Final answer
    x = 1,899.00

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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.