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Finding the Fourth Proportional to 2,180.62, 3,270.46 and 719.42

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Solution

The fourth proportional to 2,180.62, 3,270.46 and 719.42 is: 1,078.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.62 : 3,270.46 = 719.42 : x
  2. Step 2: Convert to fraction form
    2,180.62/3,270.46 = 719.42/x
  3. Step 3: Cross multiply
    2,180.62x = 3,270.46 × 719.42
  4. Step 4: Simplify right side
    2,180.62x = 2,352,830.74
  5. Step 5: Solve for x
    x = 2,352,830.74/2,180.62
  6. Step 6: Final answer
    x = 1,078.98

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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.