Home / 1,829.05-2,743.85-596.16

Finding the Fourth Proportional to 1,829.05, 2,743.85 and 596.16

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Solution

The fourth proportional to 1,829.05, 2,743.85 and 596.16 is: 894.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.05 : 2,743.85 = 596.16 : x
  2. Step 2: Convert to fraction form
    1,829.05/2,743.85 = 596.16/x
  3. Step 3: Cross multiply
    1,829.05x = 2,743.85 × 596.16
  4. Step 4: Simplify right side
    1,829.05x = 1,635,775.11
  5. Step 5: Solve for x
    x = 1,635,775.11/1,829.05
  6. Step 6: Final answer
    x = 894.33

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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.