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Finding the Fourth Proportional to 1,952.22, 2,695.84 and 1,254.82

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Solution

The fourth proportional to 1,952.22, 2,695.84 and 1,254.82 is: 1,732.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.22 : 2,695.84 = 1,254.82 : x
  2. Step 2: Convert to fraction form
    1,952.22/2,695.84 = 1,254.82/x
  3. Step 3: Cross multiply
    1,952.22x = 2,695.84 × 1,254.82
  4. Step 4: Simplify right side
    1,952.22x = 3,382,793.95
  5. Step 5: Solve for x
    x = 3,382,793.95/1,952.22
  6. Step 6: Final answer
    x = 1,732.79

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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.