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Finding the Fourth Proportional to 3,601.81, 4,969.36 and 2,029.60

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Solution

The fourth proportional to 3,601.81, 4,969.36 and 2,029.60 is: 2,800.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.81 : 4,969.36 = 2,029.60 : x
  2. Step 2: Convert to fraction form
    3,601.81/4,969.36 = 2,029.60/x
  3. Step 3: Cross multiply
    3,601.81x = 4,969.36 × 2,029.60
  4. Step 4: Simplify right side
    3,601.81x = 10,085,802.91
  5. Step 5: Solve for x
    x = 10,085,802.91/3,601.81
  6. Step 6: Final answer
    x = 2,800.20

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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.