Home / 2,242.27-3,364.84-943.74

Finding the Fourth Proportional to 2,242.27, 3,364.84 and 943.74

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Solution

The fourth proportional to 2,242.27, 3,364.84 and 943.74 is: 1,416.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.27 : 3,364.84 = 943.74 : x
  2. Step 2: Convert to fraction form
    2,242.27/3,364.84 = 943.74/x
  3. Step 3: Cross multiply
    2,242.27x = 3,364.84 × 943.74
  4. Step 4: Simplify right side
    2,242.27x = 3,175,535.28
  5. Step 5: Solve for x
    x = 3,175,535.28/2,242.27
  6. Step 6: Final answer
    x = 1,416.21

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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.