Home / 1,456.31-2,011.37-961.15

Finding the Fourth Proportional to 1,456.31, 2,011.37 and 961.15

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Solution

The fourth proportional to 1,456.31, 2,011.37 and 961.15 is: 1,327.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.31 : 2,011.37 = 961.15 : x
  2. Step 2: Convert to fraction form
    1,456.31/2,011.37 = 961.15/x
  3. Step 3: Cross multiply
    1,456.31x = 2,011.37 × 961.15
  4. Step 4: Simplify right side
    1,456.31x = 1,933,218.44
  5. Step 5: Solve for x
    x = 1,933,218.44/1,456.31
  6. Step 6: Final answer
    x = 1,327.48

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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.