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Finding the Fourth Proportional to 2,858.97, 3,945.55 and 1,600.17

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Solution

The fourth proportional to 2,858.97, 3,945.55 and 1,600.17 is: 2,208.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.97 : 3,945.55 = 1,600.17 : x
  2. Step 2: Convert to fraction form
    2,858.97/3,945.55 = 1,600.17/x
  3. Step 3: Cross multiply
    2,858.97x = 3,945.55 × 1,600.17
  4. Step 4: Simplify right side
    2,858.97x = 6,313,531.02
  5. Step 5: Solve for x
    x = 6,313,531.02/2,858.97
  6. Step 6: Final answer
    x = 2,208.33

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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.