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Finding the Fourth Proportional to 2,179.57, 3,269.34 and 536.11

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Solution

The fourth proportional to 2,179.57, 3,269.34 and 536.11 is: 804.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.57 : 3,269.34 = 536.11 : x
  2. Step 2: Convert to fraction form
    2,179.57/3,269.34 = 536.11/x
  3. Step 3: Cross multiply
    2,179.57x = 3,269.34 × 536.11
  4. Step 4: Simplify right side
    2,179.57x = 1,752,725.87
  5. Step 5: Solve for x
    x = 1,752,725.87/2,179.57
  6. Step 6: Final answer
    x = 804.16

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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.