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Finding the Fourth Proportional to 2,088.67, 2,887.77 and 1,996.87

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Solution

The fourth proportional to 2,088.67, 2,887.77 and 1,996.87 is: 2,760.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.67 : 2,887.77 = 1,996.87 : x
  2. Step 2: Convert to fraction form
    2,088.67/2,887.77 = 1,996.87/x
  3. Step 3: Cross multiply
    2,088.67x = 2,887.77 × 1,996.87
  4. Step 4: Simplify right side
    2,088.67x = 5,766,501.28
  5. Step 5: Solve for x
    x = 5,766,501.28/2,088.67
  6. Step 6: Final answer
    x = 2,760.85

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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.