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Finding the Fourth Proportional to 2,135.31, 3,202.97 and 596.31

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Solution

The fourth proportional to 2,135.31, 3,202.97 and 596.31 is: 894.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.31 : 3,202.97 = 596.31 : x
  2. Step 2: Convert to fraction form
    2,135.31/3,202.97 = 596.31/x
  3. Step 3: Cross multiply
    2,135.31x = 3,202.97 × 596.31
  4. Step 4: Simplify right side
    2,135.31x = 1,909,960.06
  5. Step 5: Solve for x
    x = 1,909,960.06/2,135.31
  6. Step 6: Final answer
    x = 894.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.