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Finding the Fourth Proportional to 3,092.16, 4,267.24 and 1,694.84

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Solution

The fourth proportional to 3,092.16, 4,267.24 and 1,694.84 is: 2,338.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.16 : 4,267.24 = 1,694.84 : x
  2. Step 2: Convert to fraction form
    3,092.16/4,267.24 = 1,694.84/x
  3. Step 3: Cross multiply
    3,092.16x = 4,267.24 × 1,694.84
  4. Step 4: Simplify right side
    3,092.16x = 7,232,289.04
  5. Step 5: Solve for x
    x = 7,232,289.04/3,092.16
  6. Step 6: Final answer
    x = 2,338.91

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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.