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Finding the Fourth Proportional to 2,314.68, 3,473.42 and 927.82

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Solution

The fourth proportional to 2,314.68, 3,473.42 and 927.82 is: 1,392.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.68 : 3,473.42 = 927.82 : x
  2. Step 2: Convert to fraction form
    2,314.68/3,473.42 = 927.82/x
  3. Step 3: Cross multiply
    2,314.68x = 3,473.42 × 927.82
  4. Step 4: Simplify right side
    2,314.68x = 3,222,708.54
  5. Step 5: Solve for x
    x = 3,222,708.54/2,314.68
  6. Step 6: Final answer
    x = 1,392.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.