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Finding the Fourth Proportional to 3,601.64, 4,969.88 and 2,029.44

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Solution

The fourth proportional to 3,601.64, 4,969.88 and 2,029.44 is: 2,800.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.64 : 4,969.88 = 2,029.44 : x
  2. Step 2: Convert to fraction form
    3,601.64/4,969.88 = 2,029.44/x
  3. Step 3: Cross multiply
    3,601.64x = 4,969.88 × 2,029.44
  4. Step 4: Simplify right side
    3,601.64x = 10,086,073.27
  5. Step 5: Solve for x
    x = 10,086,073.27/3,601.64
  6. Step 6: Final answer
    x = 2,800.41

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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.