Home / 1,213.20-1,817.76-952.14

Finding the Fourth Proportional to 1,213.20, 1,817.76 and 952.14

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Solution

The fourth proportional to 1,213.20, 1,817.76 and 952.14 is: 1,426.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.20 : 1,817.76 = 952.14 : x
  2. Step 2: Convert to fraction form
    1,213.20/1,817.76 = 952.14/x
  3. Step 3: Cross multiply
    1,213.20x = 1,817.76 × 952.14
  4. Step 4: Simplify right side
    1,213.20x = 1,730,762.01
  5. Step 5: Solve for x
    x = 1,730,762.01/1,213.20
  6. Step 6: Final answer
    x = 1,426.61

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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.