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Finding the Fourth Proportional to 2,797.90, 3,861.42 and 1,679.20

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Solution

The fourth proportional to 2,797.90, 3,861.42 and 1,679.20 is: 2,317.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.90 : 3,861.42 = 1,679.20 : x
  2. Step 2: Convert to fraction form
    2,797.90/3,861.42 = 1,679.20/x
  3. Step 3: Cross multiply
    2,797.90x = 3,861.42 × 1,679.20
  4. Step 4: Simplify right side
    2,797.90x = 6,484,096.46
  5. Step 5: Solve for x
    x = 6,484,096.46/2,797.90
  6. Step 6: Final answer
    x = 2,317.49

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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.