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Finding the Fourth Proportional to 2,762.46, 4,143.87 and 814.50

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Solution

The fourth proportional to 2,762.46, 4,143.87 and 814.50 is: 1,221.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.46 : 4,143.87 = 814.50 : x
  2. Step 2: Convert to fraction form
    2,762.46/4,143.87 = 814.50/x
  3. Step 3: Cross multiply
    2,762.46x = 4,143.87 × 814.50
  4. Step 4: Simplify right side
    2,762.46x = 3,375,182.12
  5. Step 5: Solve for x
    x = 3,375,182.12/2,762.46
  6. Step 6: Final answer
    x = 1,221.80

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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.