Home / 2,462.13-3,693.19-730.75

Finding the Fourth Proportional to 2,462.13, 3,693.19 and 730.75

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Solution

The fourth proportional to 2,462.13, 3,693.19 and 730.75 is: 1,096.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.13 : 3,693.19 = 730.75 : x
  2. Step 2: Convert to fraction form
    2,462.13/3,693.19 = 730.75/x
  3. Step 3: Cross multiply
    2,462.13x = 3,693.19 × 730.75
  4. Step 4: Simplify right side
    2,462.13x = 2,698,798.59
  5. Step 5: Solve for x
    x = 2,698,798.59/2,462.13
  6. Step 6: Final answer
    x = 1,096.12

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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.