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Finding the Fourth Proportional to 2,180.08, 3,270.15 and 536.62

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Solution

The fourth proportional to 2,180.08, 3,270.15 and 536.62 is: 804.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.08 : 3,270.15 = 536.62 : x
  2. Step 2: Convert to fraction form
    2,180.08/3,270.15 = 536.62/x
  3. Step 3: Cross multiply
    2,180.08x = 3,270.15 × 536.62
  4. Step 4: Simplify right side
    2,180.08x = 1,754,825.21
  5. Step 5: Solve for x
    x = 1,754,825.21/2,180.08
  6. Step 6: Final answer
    x = 804.94

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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.