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Finding the Fourth Proportional to 2,037.12, 2,809.50 and 1,616.80

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Solution

The fourth proportional to 2,037.12, 2,809.50 and 1,616.80 is: 2,229.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.12 : 2,809.50 = 1,616.80 : x
  2. Step 2: Convert to fraction form
    2,037.12/2,809.50 = 1,616.80/x
  3. Step 3: Cross multiply
    2,037.12x = 2,809.50 × 1,616.80
  4. Step 4: Simplify right side
    2,037.12x = 4,542,399.60
  5. Step 5: Solve for x
    x = 4,542,399.60/2,037.12
  6. Step 6: Final answer
    x = 2,229.81

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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.