Home / 2,142.73-3,215.31-1,412.65

Finding the Fourth Proportional to 2,142.73, 3,215.31 and 1,412.65

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Solution

The fourth proportional to 2,142.73, 3,215.31 and 1,412.65 is: 2,119.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.73 : 3,215.31 = 1,412.65 : x
  2. Step 2: Convert to fraction form
    2,142.73/3,215.31 = 1,412.65/x
  3. Step 3: Cross multiply
    2,142.73x = 3,215.31 × 1,412.65
  4. Step 4: Simplify right side
    2,142.73x = 4,542,107.67
  5. Step 5: Solve for x
    x = 4,542,107.67/2,142.73
  6. Step 6: Final answer
    x = 2,119.78

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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.