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Finding the Fourth Proportional to 2,761.68, 4,142.64 and 813.84

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Solution

The fourth proportional to 2,761.68, 4,142.64 and 813.84 is: 1,220.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.68 : 4,142.64 = 813.84 : x
  2. Step 2: Convert to fraction form
    2,761.68/4,142.64 = 813.84/x
  3. Step 3: Cross multiply
    2,761.68x = 4,142.64 × 813.84
  4. Step 4: Simplify right side
    2,761.68x = 3,371,446.14
  5. Step 5: Solve for x
    x = 3,371,446.14/2,761.68
  6. Step 6: Final answer
    x = 1,220.80

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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.