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Finding the Fourth Proportional to 2,800.20, 3,862.82 and 2,174.84

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Solution

The fourth proportional to 2,800.20, 3,862.82 and 2,174.84 is: 3,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.20 : 3,862.82 = 2,174.84 : x
  2. Step 2: Convert to fraction form
    2,800.20/3,862.82 = 2,174.84/x
  3. Step 3: Cross multiply
    2,800.20x = 3,862.82 × 2,174.84
  4. Step 4: Simplify right side
    2,800.20x = 8,401,015.45
  5. Step 5: Solve for x
    x = 8,401,015.45/2,800.20
  6. Step 6: Final answer
    x = 3,000.15

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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.