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Finding the Fourth Proportional to 2,761.44, 4,142.14 and 709.44

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Solution

The fourth proportional to 2,761.44, 4,142.14 and 709.44 is: 1,064.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.44 : 4,142.14 = 709.44 : x
  2. Step 2: Convert to fraction form
    2,761.44/4,142.14 = 709.44/x
  3. Step 3: Cross multiply
    2,761.44x = 4,142.14 × 709.44
  4. Step 4: Simplify right side
    2,761.44x = 2,938,599.80
  5. Step 5: Solve for x
    x = 2,938,599.80/2,761.44
  6. Step 6: Final answer
    x = 1,064.15

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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.