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Finding the Fourth Proportional to 2,179.63, 3,269.65 and 718.80

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Solution

The fourth proportional to 2,179.63, 3,269.65 and 718.80 is: 1,078.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.63 : 3,269.65 = 718.80 : x
  2. Step 2: Convert to fraction form
    2,179.63/3,269.65 = 718.80/x
  3. Step 3: Cross multiply
    2,179.63x = 3,269.65 × 718.80
  4. Step 4: Simplify right side
    2,179.63x = 2,350,224.42
  5. Step 5: Solve for x
    x = 2,350,224.42/2,179.63
  6. Step 6: Final answer
    x = 1,078.27

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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.