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Finding the Fourth Proportional to 1,351.62, 2,027.43 and 921.51

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Solution

The fourth proportional to 1,351.62, 2,027.43 and 921.51 is: 1,382.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.62 : 2,027.43 = 921.51 : x
  2. Step 2: Convert to fraction form
    1,351.62/2,027.43 = 921.51/x
  3. Step 3: Cross multiply
    1,351.62x = 2,027.43 × 921.51
  4. Step 4: Simplify right side
    1,351.62x = 1,868,297.02
  5. Step 5: Solve for x
    x = 1,868,297.02/1,351.62
  6. Step 6: Final answer
    x = 1,382.27

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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.