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Finding the Fourth Proportional to 3,242.25, 4,866.84 and 1,394.28

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Solution

The fourth proportional to 3,242.25, 4,866.84 and 1,394.28 is: 2,092.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.25 : 4,866.84 = 1,394.28 : x
  2. Step 2: Convert to fraction form
    3,242.25/4,866.84 = 1,394.28/x
  3. Step 3: Cross multiply
    3,242.25x = 4,866.84 × 1,394.28
  4. Step 4: Simplify right side
    3,242.25x = 6,785,737.68
  5. Step 5: Solve for x
    x = 6,785,737.68/3,242.25
  6. Step 6: Final answer
    x = 2,092.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.