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Finding the Fourth Proportional to 2,093.05, 2,887.95 and 1,208.80

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Solution

The fourth proportional to 2,093.05, 2,887.95 and 1,208.80 is: 1,667.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.05 : 2,887.95 = 1,208.80 : x
  2. Step 2: Convert to fraction form
    2,093.05/2,887.95 = 1,208.80/x
  3. Step 3: Cross multiply
    2,093.05x = 2,887.95 × 1,208.80
  4. Step 4: Simplify right side
    2,093.05x = 3,490,953.96
  5. Step 5: Solve for x
    x = 3,490,953.96/2,093.05
  6. Step 6: Final answer
    x = 1,667.88

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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.