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Finding the Fourth Proportional to 2,887.86, 3,982.59 and 1,892.78

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Solution

The fourth proportional to 2,887.86, 3,982.59 and 1,892.78 is: 2,610.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.86 : 3,982.59 = 1,892.78 : x
  2. Step 2: Convert to fraction form
    2,887.86/3,982.59 = 1,892.78/x
  3. Step 3: Cross multiply
    2,887.86x = 3,982.59 × 1,892.78
  4. Step 4: Simplify right side
    2,887.86x = 7,538,146.79
  5. Step 5: Solve for x
    x = 7,538,146.79/2,887.86
  6. Step 6: Final answer
    x = 2,610.29

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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.