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Finding the Fourth Proportional to 1,787.25, 2,682.32 and 921.81

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Solution

The fourth proportional to 1,787.25, 2,682.32 and 921.81 is: 1,383.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.25 : 2,682.32 = 921.81 : x
  2. Step 2: Convert to fraction form
    1,787.25/2,682.32 = 921.81/x
  3. Step 3: Cross multiply
    1,787.25x = 2,682.32 × 921.81
  4. Step 4: Simplify right side
    1,787.25x = 2,472,584.79
  5. Step 5: Solve for x
    x = 2,472,584.79/1,787.25
  6. Step 6: Final answer
    x = 1,383.46

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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.