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Finding the Fourth Proportional to 2,794.88, 3,861.80 and 2,297.14

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Solution

The fourth proportional to 2,794.88, 3,861.80 and 2,297.14 is: 3,174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.88 : 3,861.80 = 2,297.14 : x
  2. Step 2: Convert to fraction form
    2,794.88/3,861.80 = 2,297.14/x
  3. Step 3: Cross multiply
    2,794.88x = 3,861.80 × 2,297.14
  4. Step 4: Simplify right side
    2,794.88x = 8,871,095.25
  5. Step 5: Solve for x
    x = 8,871,095.25/2,794.88
  6. Step 6: Final answer
    x = 3,174.05

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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.