Home / 2,135.49-3,202.87-596.13

Finding the Fourth Proportional to 2,135.49, 3,202.87 and 596.13

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Solution

The fourth proportional to 2,135.49, 3,202.87 and 596.13 is: 894.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.49 : 3,202.87 = 596.13 : x
  2. Step 2: Convert to fraction form
    2,135.49/3,202.87 = 596.13/x
  3. Step 3: Cross multiply
    2,135.49x = 3,202.87 × 596.13
  4. Step 4: Simplify right side
    2,135.49x = 1,909,326.89
  5. Step 5: Solve for x
    x = 1,909,326.89/2,135.49
  6. Step 6: Final answer
    x = 894.09

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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.