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Finding the Fourth Proportional to 1,382.52, 1,906.94 and 984.15

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Solution

The fourth proportional to 1,382.52, 1,906.94 and 984.15 is: 1,357.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.52 : 1,906.94 = 984.15 : x
  2. Step 2: Convert to fraction form
    1,382.52/1,906.94 = 984.15/x
  3. Step 3: Cross multiply
    1,382.52x = 1,906.94 × 984.15
  4. Step 4: Simplify right side
    1,382.52x = 1,876,717.46
  5. Step 5: Solve for x
    x = 1,876,717.46/1,382.52
  6. Step 6: Final answer
    x = 1,357.46

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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.