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Finding the Fourth Proportional to 2,092.59, 2,887.34 and 1,208.34

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Solution

The fourth proportional to 2,092.59, 2,887.34 and 1,208.34 is: 1,667.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.59 : 2,887.34 = 1,208.34 : x
  2. Step 2: Convert to fraction form
    2,092.59/2,887.34 = 1,208.34/x
  3. Step 3: Cross multiply
    2,092.59x = 2,887.34 × 1,208.34
  4. Step 4: Simplify right side
    2,092.59x = 3,488,882.37
  5. Step 5: Solve for x
    x = 3,488,882.37/2,092.59
  6. Step 6: Final answer
    x = 1,667.26

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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.