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Finding the Fourth Proportional to 1,952.66, 2,694.45 and 1,166.42

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Solution

The fourth proportional to 1,952.66, 2,694.45 and 1,166.42 is: 1,609.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.66 : 2,694.45 = 1,166.42 : x
  2. Step 2: Convert to fraction form
    1,952.66/2,694.45 = 1,166.42/x
  3. Step 3: Cross multiply
    1,952.66x = 2,694.45 × 1,166.42
  4. Step 4: Simplify right side
    1,952.66x = 3,142,860.37
  5. Step 5: Solve for x
    x = 3,142,860.37/1,952.66
  6. Step 6: Final answer
    x = 1,609.53

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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.