Home / 1,540.32-2,311.70-675.24

Finding the Fourth Proportional to 1,540.32, 2,311.70 and 675.24

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Solution

The fourth proportional to 1,540.32, 2,311.70 and 675.24 is: 1,013.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.32 : 2,311.70 = 675.24 : x
  2. Step 2: Convert to fraction form
    1,540.32/2,311.70 = 675.24/x
  3. Step 3: Cross multiply
    1,540.32x = 2,311.70 × 675.24
  4. Step 4: Simplify right side
    1,540.32x = 1,560,952.31
  5. Step 5: Solve for x
    x = 1,560,952.31/1,540.32
  6. Step 6: Final answer
    x = 1,013.39

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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.