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Finding the Fourth Proportional to 2,796.50, 3,860.79 and 1,866.62

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Solution

The fourth proportional to 2,796.50, 3,860.79 and 1,866.62 is: 2,577.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.50 : 3,860.79 = 1,866.62 : x
  2. Step 2: Convert to fraction form
    2,796.50/3,860.79 = 1,866.62/x
  3. Step 3: Cross multiply
    2,796.50x = 3,860.79 × 1,866.62
  4. Step 4: Simplify right side
    2,796.50x = 7,206,627.83
  5. Step 5: Solve for x
    x = 7,206,627.83/2,796.50
  6. Step 6: Final answer
    x = 2,577.02

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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.