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Finding the Fourth Proportional to 2,767.54, 3,815.16 and 2,177.05

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Solution

The fourth proportional to 2,767.54, 3,815.16 and 2,177.05 is: 3,001.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.54 : 3,815.16 = 2,177.05 : x
  2. Step 2: Convert to fraction form
    2,767.54/3,815.16 = 2,177.05/x
  3. Step 3: Cross multiply
    2,767.54x = 3,815.16 × 2,177.05
  4. Step 4: Simplify right side
    2,767.54x = 8,305,794.08
  5. Step 5: Solve for x
    x = 8,305,794.08/2,767.54
  6. Step 6: Final answer
    x = 3,001.15

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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.