Home / 3,102.26-4,652.04-1,542.80

Finding the Fourth Proportional to 3,102.26, 4,652.04 and 1,542.80

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Solution

The fourth proportional to 3,102.26, 4,652.04 and 1,542.80 is: 2,313.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.26 : 4,652.04 = 1,542.80 : x
  2. Step 2: Convert to fraction form
    3,102.26/4,652.04 = 1,542.80/x
  3. Step 3: Cross multiply
    3,102.26x = 4,652.04 × 1,542.80
  4. Step 4: Simplify right side
    3,102.26x = 7,177,167.31
  5. Step 5: Solve for x
    x = 7,177,167.31/3,102.26
  6. Step 6: Final answer
    x = 2,313.53

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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.