Home / 1,540.26-2,311.33-810.36

Finding the Fourth Proportional to 1,540.26, 2,311.33 and 810.36

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Solution

The fourth proportional to 1,540.26, 2,311.33 and 810.36 is: 1,216.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.26 : 2,311.33 = 810.36 : x
  2. Step 2: Convert to fraction form
    1,540.26/2,311.33 = 810.36/x
  3. Step 3: Cross multiply
    1,540.26x = 2,311.33 × 810.36
  4. Step 4: Simplify right side
    1,540.26x = 1,873,009.38
  5. Step 5: Solve for x
    x = 1,873,009.38/1,540.26
  6. Step 6: Final answer
    x = 1,216.03

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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.