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Finding the Fourth Proportional to 2,794.72, 3,856.80 and 2,094.88

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Solution

The fourth proportional to 2,794.72, 3,856.80 and 2,094.88 is: 2,891.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.72 : 3,856.80 = 2,094.88 : x
  2. Step 2: Convert to fraction form
    2,794.72/3,856.80 = 2,094.88/x
  3. Step 3: Cross multiply
    2,794.72x = 3,856.80 × 2,094.88
  4. Step 4: Simplify right side
    2,794.72x = 8,079,533.18
  5. Step 5: Solve for x
    x = 8,079,533.18/2,794.72
  6. Step 6: Final answer
    x = 2,891.00

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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.