Home / 1,542.83-2,131.42-1,012.97

Finding the Fourth Proportional to 1,542.83, 2,131.42 and 1,012.97

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Solution

The fourth proportional to 1,542.83, 2,131.42 and 1,012.97 is: 1,399.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.83 : 2,131.42 = 1,012.97 : x
  2. Step 2: Convert to fraction form
    1,542.83/2,131.42 = 1,012.97/x
  3. Step 3: Cross multiply
    1,542.83x = 2,131.42 × 1,012.97
  4. Step 4: Simplify right side
    1,542.83x = 2,159,064.52
  5. Step 5: Solve for x
    x = 2,159,064.52/1,542.83
  6. Step 6: Final answer
    x = 1,399.42

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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.