Home / 1,923.27-2,884.91-462.43

Finding the Fourth Proportional to 1,923.27, 2,884.91 and 462.43

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Solution

The fourth proportional to 1,923.27, 2,884.91 and 462.43 is: 693.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.27 : 2,884.91 = 462.43 : x
  2. Step 2: Convert to fraction form
    1,923.27/2,884.91 = 462.43/x
  3. Step 3: Cross multiply
    1,923.27x = 2,884.91 × 462.43
  4. Step 4: Simplify right side
    1,923.27x = 1,334,053.35
  5. Step 5: Solve for x
    x = 1,334,053.35/1,923.27
  6. Step 6: Final answer
    x = 693.64

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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.