Home / 2,142.14-3,213.47-755.19

Finding the Fourth Proportional to 2,142.14, 3,213.47 and 755.19

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Solution

The fourth proportional to 2,142.14, 3,213.47 and 755.19 is: 1,132.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.14 : 3,213.47 = 755.19 : x
  2. Step 2: Convert to fraction form
    2,142.14/3,213.47 = 755.19/x
  3. Step 3: Cross multiply
    2,142.14x = 3,213.47 × 755.19
  4. Step 4: Simplify right side
    2,142.14x = 2,426,786.91
  5. Step 5: Solve for x
    x = 2,426,786.91/2,142.14
  6. Step 6: Final answer
    x = 1,132.88

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1.5x scale

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.