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Finding the Fourth Proportional to 1,797.30, 2,695.03 and 822.57

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Solution

The fourth proportional to 1,797.30, 2,695.03 and 822.57 is: 1,233.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.30 : 2,695.03 = 822.57 : x
  2. Step 2: Convert to fraction form
    1,797.30/2,695.03 = 822.57/x
  3. Step 3: Cross multiply
    1,797.30x = 2,695.03 × 822.57
  4. Step 4: Simplify right side
    1,797.30x = 2,216,850.83
  5. Step 5: Solve for x
    x = 2,216,850.83/1,797.30
  6. Step 6: Final answer
    x = 1,233.43

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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.