Home / 2,242.32-3,364.70-943.76

Finding the Fourth Proportional to 2,242.32, 3,364.70 and 943.76

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Solution

The fourth proportional to 2,242.32, 3,364.70 and 943.76 is: 1,416.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.32 : 3,364.70 = 943.76 : x
  2. Step 2: Convert to fraction form
    2,242.32/3,364.70 = 943.76/x
  3. Step 3: Cross multiply
    2,242.32x = 3,364.70 × 943.76
  4. Step 4: Simplify right side
    2,242.32x = 3,175,447.73
  5. Step 5: Solve for x
    x = 3,175,447.73/2,242.32
  6. Step 6: Final answer
    x = 1,416.14

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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.