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Finding the Fourth Proportional to 2,179.65, 3,269.98 and 718.82

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Solution

The fourth proportional to 2,179.65, 3,269.98 and 718.82 is: 1,078.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.65 : 3,269.98 = 718.82 : x
  2. Step 2: Convert to fraction form
    2,179.65/3,269.98 = 718.82/x
  3. Step 3: Cross multiply
    2,179.65x = 3,269.98 × 718.82
  4. Step 4: Simplify right side
    2,179.65x = 2,350,527.02
  5. Step 5: Solve for x
    x = 2,350,527.02/2,179.65
  6. Step 6: Final answer
    x = 1,078.40

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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.