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Finding the Fourth Proportional to 1,952.59, 2,693.82 and 1,205.25

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Solution

The fourth proportional to 1,952.59, 2,693.82 and 1,205.25 is: 1,662.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.59 : 2,693.82 = 1,205.25 : x
  2. Step 2: Convert to fraction form
    1,952.59/2,693.82 = 1,205.25/x
  3. Step 3: Cross multiply
    1,952.59x = 2,693.82 × 1,205.25
  4. Step 4: Simplify right side
    1,952.59x = 3,246,726.56
  5. Step 5: Solve for x
    x = 3,246,726.56/1,952.59
  6. Step 6: Final answer
    x = 1,662.78

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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.