Home / 1,924.92-2,884.44-1,143.38

Finding the Fourth Proportional to 1,924.92, 2,884.44 and 1,143.38

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Solution

The fourth proportional to 1,924.92, 2,884.44 and 1,143.38 is: 1,713.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.92 : 2,884.44 = 1,143.38 : x
  2. Step 2: Convert to fraction form
    1,924.92/2,884.44 = 1,143.38/x
  3. Step 3: Cross multiply
    1,924.92x = 2,884.44 × 1,143.38
  4. Step 4: Simplify right side
    1,924.92x = 3,298,011.01
  5. Step 5: Solve for x
    x = 3,298,011.01/1,924.92
  6. Step 6: Final answer
    x = 1,713.32

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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.