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Finding the Fourth Proportional to 1,680.97, 2,321.12 and 1,092.51

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Solution

The fourth proportional to 1,680.97, 2,321.12 and 1,092.51 is: 1,508.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.97 : 2,321.12 = 1,092.51 : x
  2. Step 2: Convert to fraction form
    1,680.97/2,321.12 = 1,092.51/x
  3. Step 3: Cross multiply
    1,680.97x = 2,321.12 × 1,092.51
  4. Step 4: Simplify right side
    1,680.97x = 2,535,846.81
  5. Step 5: Solve for x
    x = 2,535,846.81/1,680.97
  6. Step 6: Final answer
    x = 1,508.56

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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.