Home / 1,462.11-2,194.53-596.49

Finding the Fourth Proportional to 1,462.11, 2,194.53 and 596.49

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Solution

The fourth proportional to 1,462.11, 2,194.53 and 596.49 is: 895.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.11 : 2,194.53 = 596.49 : x
  2. Step 2: Convert to fraction form
    1,462.11/2,194.53 = 596.49/x
  3. Step 3: Cross multiply
    1,462.11x = 2,194.53 × 596.49
  4. Step 4: Simplify right side
    1,462.11x = 1,309,015.20
  5. Step 5: Solve for x
    x = 1,309,015.20/1,462.11
  6. Step 6: Final answer
    x = 895.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.