Home / 2,027.17-3,042.24-932.32

Finding the Fourth Proportional to 2,027.17, 3,042.24 and 932.32

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Solution

The fourth proportional to 2,027.17, 3,042.24 and 932.32 is: 1,399.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.17 : 3,042.24 = 932.32 : x
  2. Step 2: Convert to fraction form
    2,027.17/3,042.24 = 932.32/x
  3. Step 3: Cross multiply
    2,027.17x = 3,042.24 × 932.32
  4. Step 4: Simplify right side
    2,027.17x = 2,836,341.20
  5. Step 5: Solve for x
    x = 2,836,341.20/2,027.17
  6. Step 6: Final answer
    x = 1,399.16

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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.