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Finding the Fourth Proportional to 1,822.52, 2,502.92 and 1,694.04

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Solution

The fourth proportional to 1,822.52, 2,502.92 and 1,694.04 is: 2,326.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.52 : 2,502.92 = 1,694.04 : x
  2. Step 2: Convert to fraction form
    1,822.52/2,502.92 = 1,694.04/x
  3. Step 3: Cross multiply
    1,822.52x = 2,502.92 × 1,694.04
  4. Step 4: Simplify right side
    1,822.52x = 4,240,046.60
  5. Step 5: Solve for x
    x = 4,240,046.60/1,822.52
  6. Step 6: Final answer
    x = 2,326.47

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.