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Finding the Fourth Proportional to 2,179.62, 3,269.64 and 718.77

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Solution

The fourth proportional to 2,179.62, 3,269.64 and 718.77 is: 1,078.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.62 : 3,269.64 = 718.77 : x
  2. Step 2: Convert to fraction form
    2,179.62/3,269.64 = 718.77/x
  3. Step 3: Cross multiply
    2,179.62x = 3,269.64 × 718.77
  4. Step 4: Simplify right side
    2,179.62x = 2,350,119.14
  5. Step 5: Solve for x
    x = 2,350,119.14/2,179.62
  6. Step 6: Final answer
    x = 1,078.22

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Why These Related Problems?

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