Home / 1,769.12-2,441.76-1,023.20

Finding the Fourth Proportional to 1,769.12, 2,441.76 and 1,023.20

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Solution

The fourth proportional to 1,769.12, 2,441.76 and 1,023.20 is: 1,412.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.12 : 2,441.76 = 1,023.20 : x
  2. Step 2: Convert to fraction form
    1,769.12/2,441.76 = 1,023.20/x
  3. Step 3: Cross multiply
    1,769.12x = 2,441.76 × 1,023.20
  4. Step 4: Simplify right side
    1,769.12x = 2,498,408.83
  5. Step 5: Solve for x
    x = 2,498,408.83/1,769.12
  6. Step 6: Final answer
    x = 1,412.23

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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.