Home / 2,288.17-3,431.76-826.51

Finding the Fourth Proportional to 2,288.17, 3,431.76 and 826.51

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Solution

The fourth proportional to 2,288.17, 3,431.76 and 826.51 is: 1,239.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.17 : 3,431.76 = 826.51 : x
  2. Step 2: Convert to fraction form
    2,288.17/3,431.76 = 826.51/x
  3. Step 3: Cross multiply
    2,288.17x = 3,431.76 × 826.51
  4. Step 4: Simplify right side
    2,288.17x = 2,836,383.96
  5. Step 5: Solve for x
    x = 2,836,383.96/2,288.17
  6. Step 6: Final answer
    x = 1,239.59

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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.