Home / 2,255.80-3,382.68-1,023.16

Finding the Fourth Proportional to 2,255.80, 3,382.68 and 1,023.16

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Solution

The fourth proportional to 2,255.80, 3,382.68 and 1,023.16 is: 1,534.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.80 : 3,382.68 = 1,023.16 : x
  2. Step 2: Convert to fraction form
    2,255.80/3,382.68 = 1,023.16/x
  3. Step 3: Cross multiply
    2,255.80x = 3,382.68 × 1,023.16
  4. Step 4: Simplify right side
    2,255.80x = 3,461,022.87
  5. Step 5: Solve for x
    x = 3,461,022.87/2,255.80
  6. Step 6: Final answer
    x = 1,534.28

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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.