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Finding the Fourth Proportional to 2,462.02, 3,692.19 and 706.56

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Solution

The fourth proportional to 2,462.02, 3,692.19 and 706.56 is: 1,059.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.02 : 3,692.19 = 706.56 : x
  2. Step 2: Convert to fraction form
    2,462.02/3,692.19 = 706.56/x
  3. Step 3: Cross multiply
    2,462.02x = 3,692.19 × 706.56
  4. Step 4: Simplify right side
    2,462.02x = 2,608,735.31
  5. Step 5: Solve for x
    x = 2,608,735.31/2,462.02
  6. Step 6: Final answer
    x = 1,059.59

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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.