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Finding the Fourth Proportional to 2,086.81, 2,876.48 and 1,644.01

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Solution

The fourth proportional to 2,086.81, 2,876.48 and 1,644.01 is: 2,266.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.81 : 2,876.48 = 1,644.01 : x
  2. Step 2: Convert to fraction form
    2,086.81/2,876.48 = 1,644.01/x
  3. Step 3: Cross multiply
    2,086.81x = 2,876.48 × 1,644.01
  4. Step 4: Simplify right side
    2,086.81x = 4,728,961.88
  5. Step 5: Solve for x
    x = 4,728,961.88/2,086.81
  6. Step 6: Final answer
    x = 2,266.12

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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.