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Finding the Fourth Proportional to 1,832.96, 2,528.61 and 1,203.23

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Solution

The fourth proportional to 1,832.96, 2,528.61 and 1,203.23 is: 1,659.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.96 : 2,528.61 = 1,203.23 : x
  2. Step 2: Convert to fraction form
    1,832.96/2,528.61 = 1,203.23/x
  3. Step 3: Cross multiply
    1,832.96x = 2,528.61 × 1,203.23
  4. Step 4: Simplify right side
    1,832.96x = 3,042,499.41
  5. Step 5: Solve for x
    x = 3,042,499.41/1,832.96
  6. Step 6: Final answer
    x = 1,659.88

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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.