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Finding the Fourth Proportional to 2,092.69, 2,887.93 and 1,208.49

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Solution

The fourth proportional to 2,092.69, 2,887.93 and 1,208.49 is: 1,667.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.69 : 2,887.93 = 1,208.49 : x
  2. Step 2: Convert to fraction form
    2,092.69/2,887.93 = 1,208.49/x
  3. Step 3: Cross multiply
    2,092.69x = 2,887.93 × 1,208.49
  4. Step 4: Simplify right side
    2,092.69x = 3,490,028.48
  5. Step 5: Solve for x
    x = 3,490,028.48/2,092.69
  6. Step 6: Final answer
    x = 1,667.72

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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.