Home / 2,272.88-3,410.84-974.66

Finding the Fourth Proportional to 2,272.88, 3,410.84 and 974.66

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Solution

The fourth proportional to 2,272.88, 3,410.84 and 974.66 is: 1,462.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.88 : 3,410.84 = 974.66 : x
  2. Step 2: Convert to fraction form
    2,272.88/3,410.84 = 974.66/x
  3. Step 3: Cross multiply
    2,272.88x = 3,410.84 × 974.66
  4. Step 4: Simplify right side
    2,272.88x = 3,324,387.39
  5. Step 5: Solve for x
    x = 3,324,387.39/2,272.88
  6. Step 6: Final answer
    x = 1,462.64

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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.