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Finding the Fourth Proportional to 1,832.81, 2,529.28 and 993.51

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Solution

The fourth proportional to 1,832.81, 2,529.28 and 993.51 is: 1,371.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.81 : 2,529.28 = 993.51 : x
  2. Step 2: Convert to fraction form
    1,832.81/2,529.28 = 993.51/x
  3. Step 3: Cross multiply
    1,832.81x = 2,529.28 × 993.51
  4. Step 4: Simplify right side
    1,832.81x = 2,512,856.73
  5. Step 5: Solve for x
    x = 2,512,856.73/1,832.81
  6. Step 6: Final answer
    x = 1,371.04

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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.