Home / 2,042.68-2,819.24-1,159

Finding the Fourth Proportional to 2,042.68, 2,819.24 and 1,159

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Solution

The fourth proportional to 2,042.68, 2,819.24 and 1,159 is: 1,599.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.68 : 2,819.24 = 1,159 : x
  2. Step 2: Convert to fraction form
    2,042.68/2,819.24 = 1,159/x
  3. Step 3: Cross multiply
    2,042.68x = 2,819.24 × 1,159
  4. Step 4: Simplify right side
    2,042.68x = 3,267,499.16
  5. Step 5: Solve for x
    x = 3,267,499.16/2,042.68
  6. Step 6: Final answer
    x = 1,599.61

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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.