Home / 1,769.80-2,442.52-1,023.80

Finding the Fourth Proportional to 1,769.80, 2,442.52 and 1,023.80

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Solution

The fourth proportional to 1,769.80, 2,442.52 and 1,023.80 is: 1,412.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.80 : 2,442.52 = 1,023.80 : x
  2. Step 2: Convert to fraction form
    1,769.80/2,442.52 = 1,023.80/x
  3. Step 3: Cross multiply
    1,769.80x = 2,442.52 × 1,023.80
  4. Step 4: Simplify right side
    1,769.80x = 2,500,651.98
  5. Step 5: Solve for x
    x = 2,500,651.98/1,769.80
  6. Step 6: Final answer
    x = 1,412.96

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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.