Home / 1,546.20-2,319.62-506.12

Finding the Fourth Proportional to 1,546.20, 2,319.62 and 506.12

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Solution

The fourth proportional to 1,546.20, 2,319.62 and 506.12 is: 759.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.20 : 2,319.62 = 506.12 : x
  2. Step 2: Convert to fraction form
    1,546.20/2,319.62 = 506.12/x
  3. Step 3: Cross multiply
    1,546.20x = 2,319.62 × 506.12
  4. Step 4: Simplify right side
    1,546.20x = 1,174,005.65
  5. Step 5: Solve for x
    x = 1,174,005.65/1,546.20
  6. Step 6: Final answer
    x = 759.28

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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.