Home / 1,542.26-2,321.65-1,383.50

Finding the Fourth Proportional to 1,542.26, 2,321.65 and 1,383.50

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Solution

The fourth proportional to 1,542.26, 2,321.65 and 1,383.50 is: 2,082.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.26 : 2,321.65 = 1,383.50 : x
  2. Step 2: Convert to fraction form
    1,542.26/2,321.65 = 1,383.50/x
  3. Step 3: Cross multiply
    1,542.26x = 2,321.65 × 1,383.50
  4. Step 4: Simplify right side
    1,542.26x = 3,211,995.86
  5. Step 5: Solve for x
    x = 3,211,995.86/1,542.26
  6. Step 6: Final answer
    x = 2,082.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.