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Finding the Fourth Proportional to 1,786.40, 2,680.37 and 921.32

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Solution

The fourth proportional to 1,786.40, 2,680.37 and 921.32 is: 1,382.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.40 : 2,680.37 = 921.32 : x
  2. Step 2: Convert to fraction form
    1,786.40/2,680.37 = 921.32/x
  3. Step 3: Cross multiply
    1,786.40x = 2,680.37 × 921.32
  4. Step 4: Simplify right side
    1,786.40x = 2,469,484.04
  5. Step 5: Solve for x
    x = 2,469,484.04/1,786.40
  6. Step 6: Final answer
    x = 1,382.38

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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.