Home / 1,738.90-2,608.48-506.32

Finding the Fourth Proportional to 1,738.90, 2,608.48 and 506.32

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Solution

The fourth proportional to 1,738.90, 2,608.48 and 506.32 is: 759.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.90 : 2,608.48 = 506.32 : x
  2. Step 2: Convert to fraction form
    1,738.90/2,608.48 = 506.32/x
  3. Step 3: Cross multiply
    1,738.90x = 2,608.48 × 506.32
  4. Step 4: Simplify right side
    1,738.90x = 1,320,725.59
  5. Step 5: Solve for x
    x = 1,320,725.59/1,738.90
  6. Step 6: Final answer
    x = 759.52

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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.