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Finding the Fourth Proportional to 2,695.80, 4,037.94 and 1,816.44

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Solution

The fourth proportional to 2,695.80, 4,037.94 and 1,816.44 is: 2,720.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.80 : 4,037.94 = 1,816.44 : x
  2. Step 2: Convert to fraction form
    2,695.80/4,037.94 = 1,816.44/x
  3. Step 3: Cross multiply
    2,695.80x = 4,037.94 × 1,816.44
  4. Step 4: Simplify right side
    2,695.80x = 7,334,675.73
  5. Step 5: Solve for x
    x = 7,334,675.73/2,695.80
  6. Step 6: Final answer
    x = 2,720.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.