Home / 2,309.13-3,464.43-827.35

Finding the Fourth Proportional to 2,309.13, 3,464.43 and 827.35

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Solution

The fourth proportional to 2,309.13, 3,464.43 and 827.35 is: 1,241.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.13 : 3,464.43 = 827.35 : x
  2. Step 2: Convert to fraction form
    2,309.13/3,464.43 = 827.35/x
  3. Step 3: Cross multiply
    2,309.13x = 3,464.43 × 827.35
  4. Step 4: Simplify right side
    2,309.13x = 2,866,279.03
  5. Step 5: Solve for x
    x = 2,866,279.03/2,309.13
  6. Step 6: Final answer
    x = 1,241.28

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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.