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Finding the Fourth Proportional to 2,135.20, 3,202.68 and 596.20

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Solution

The fourth proportional to 2,135.20, 3,202.68 and 596.20 is: 894.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.20 : 3,202.68 = 596.20 : x
  2. Step 2: Convert to fraction form
    2,135.20/3,202.68 = 596.20/x
  3. Step 3: Cross multiply
    2,135.20x = 3,202.68 × 596.20
  4. Step 4: Simplify right side
    2,135.20x = 1,909,437.82
  5. Step 5: Solve for x
    x = 1,909,437.82/2,135.20
  6. Step 6: Final answer
    x = 894.27

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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.