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Finding the Fourth Proportional to 2,794.50, 3,858.84 and 2,099.52

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Solution

The fourth proportional to 2,794.50, 3,858.84 and 2,099.52 is: 2,899.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.50 : 3,858.84 = 2,099.52 : x
  2. Step 2: Convert to fraction form
    2,794.50/3,858.84 = 2,099.52/x
  3. Step 3: Cross multiply
    2,794.50x = 3,858.84 × 2,099.52
  4. Step 4: Simplify right side
    2,794.50x = 8,101,711.76
  5. Step 5: Solve for x
    x = 8,101,711.76/2,794.50
  6. Step 6: Final answer
    x = 2,899.16

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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.