Home / 2,078.26-3,117.30-923.20

Finding the Fourth Proportional to 2,078.26, 3,117.30 and 923.20

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Solution

The fourth proportional to 2,078.26, 3,117.30 and 923.20 is: 1,384.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.26 : 3,117.30 = 923.20 : x
  2. Step 2: Convert to fraction form
    2,078.26/3,117.30 = 923.20/x
  3. Step 3: Cross multiply
    2,078.26x = 3,117.30 × 923.20
  4. Step 4: Simplify right side
    2,078.26x = 2,877,891.36
  5. Step 5: Solve for x
    x = 2,877,891.36/2,078.26
  6. Step 6: Final answer
    x = 1,384.76

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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.