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Finding the Fourth Proportional to 1,944.61, 2,682.42 and 1,306.78

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Solution

The fourth proportional to 1,944.61, 2,682.42 and 1,306.78 is: 1,802.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.61 : 2,682.42 = 1,306.78 : x
  2. Step 2: Convert to fraction form
    1,944.61/2,682.42 = 1,306.78/x
  3. Step 3: Cross multiply
    1,944.61x = 2,682.42 × 1,306.78
  4. Step 4: Simplify right side
    1,944.61x = 3,505,336.29
  5. Step 5: Solve for x
    x = 3,505,336.29/1,944.61
  6. Step 6: Final answer
    x = 1,802.59

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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.