Home / 1,462.25-2,201.92-1,054.22

Finding the Fourth Proportional to 1,462.25, 2,201.92 and 1,054.22

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Solution

The fourth proportional to 1,462.25, 2,201.92 and 1,054.22 is: 1,587.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.25 : 2,201.92 = 1,054.22 : x
  2. Step 2: Convert to fraction form
    1,462.25/2,201.92 = 1,054.22/x
  3. Step 3: Cross multiply
    1,462.25x = 2,201.92 × 1,054.22
  4. Step 4: Simplify right side
    1,462.25x = 2,321,294.46
  5. Step 5: Solve for x
    x = 2,321,294.46/1,462.25
  6. Step 6: Final answer
    x = 1,587.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.