Home / 1,769.43-2,442.12-1,023.27

Finding the Fourth Proportional to 1,769.43, 2,442.12 and 1,023.27

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Solution

The fourth proportional to 1,769.43, 2,442.12 and 1,023.27 is: 1,412.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.43 : 2,442.12 = 1,023.27 : x
  2. Step 2: Convert to fraction form
    1,769.43/2,442.12 = 1,023.27/x
  3. Step 3: Cross multiply
    1,769.43x = 2,442.12 × 1,023.27
  4. Step 4: Simplify right side
    1,769.43x = 2,498,948.13
  5. Step 5: Solve for x
    x = 2,498,948.13/1,769.43
  6. Step 6: Final answer
    x = 1,412.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.