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Finding the Fourth Proportional to 1,797.03, 2,695.06 and 822.91

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Solution

The fourth proportional to 1,797.03, 2,695.06 and 822.91 is: 1,234.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.03 : 2,695.06 = 822.91 : x
  2. Step 2: Convert to fraction form
    1,797.03/2,695.06 = 822.91/x
  3. Step 3: Cross multiply
    1,797.03x = 2,695.06 × 822.91
  4. Step 4: Simplify right side
    1,797.03x = 2,217,791.82
  5. Step 5: Solve for x
    x = 2,217,791.82/1,797.03
  6. Step 6: Final answer
    x = 1,234.14

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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.