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Finding the Fourth Proportional to 1,797.64, 2,695.38 and 822.82

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Solution

The fourth proportional to 1,797.64, 2,695.38 and 822.82 is: 1,233.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.64 : 2,695.38 = 822.82 : x
  2. Step 2: Convert to fraction form
    1,797.64/2,695.38 = 822.82/x
  3. Step 3: Cross multiply
    1,797.64x = 2,695.38 × 822.82
  4. Step 4: Simplify right side
    1,797.64x = 2,217,812.57
  5. Step 5: Solve for x
    x = 2,217,812.57/1,797.64
  6. Step 6: Final answer
    x = 1,233.74

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Why These Related Problems?

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