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Finding the Fourth Proportional to 2,180.38, 3,270.55 and 536.94

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Solution

The fourth proportional to 2,180.38, 3,270.55 and 536.94 is: 805.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.38 : 3,270.55 = 536.94 : x
  2. Step 2: Convert to fraction form
    2,180.38/3,270.55 = 536.94/x
  3. Step 3: Cross multiply
    2,180.38x = 3,270.55 × 536.94
  4. Step 4: Simplify right side
    2,180.38x = 1,756,089.12
  5. Step 5: Solve for x
    x = 1,756,089.12/2,180.38
  6. Step 6: Final answer
    x = 805.41

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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.