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Finding the Fourth Proportional to 2,858.85, 3,945.92 and 1,664.82

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Solution

The fourth proportional to 2,858.85, 3,945.92 and 1,664.82 is: 2,297.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.85 : 3,945.92 = 1,664.82 : x
  2. Step 2: Convert to fraction form
    2,858.85/3,945.92 = 1,664.82/x
  3. Step 3: Cross multiply
    2,858.85x = 3,945.92 × 1,664.82
  4. Step 4: Simplify right side
    2,858.85x = 6,569,238.21
  5. Step 5: Solve for x
    x = 6,569,238.21/2,858.85
  6. Step 6: Final answer
    x = 2,297.86

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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.