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Finding the Fourth Proportional to 2,086.66, 2,883.48 and 1,804.78

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Solution

The fourth proportional to 2,086.66, 2,883.48 and 1,804.78 is: 2,493.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.66 : 2,883.48 = 1,804.78 : x
  2. Step 2: Convert to fraction form
    2,086.66/2,883.48 = 1,804.78/x
  3. Step 3: Cross multiply
    2,086.66x = 2,883.48 × 1,804.78
  4. Step 4: Simplify right side
    2,086.66x = 5,204,047.03
  5. Step 5: Solve for x
    x = 5,204,047.03/2,086.66
  6. Step 6: Final answer
    x = 2,493.96

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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.