Home / 1,829.20-2,744.09-596.51

Finding the Fourth Proportional to 1,829.20, 2,744.09 and 596.51

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Solution

The fourth proportional to 1,829.20, 2,744.09 and 596.51 is: 894.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.20 : 2,744.09 = 596.51 : x
  2. Step 2: Convert to fraction form
    1,829.20/2,744.09 = 596.51/x
  3. Step 3: Cross multiply
    1,829.20x = 2,744.09 × 596.51
  4. Step 4: Simplify right side
    1,829.20x = 1,636,874.14
  5. Step 5: Solve for x
    x = 1,636,874.14/1,829.20
  6. Step 6: Final answer
    x = 894.86

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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.