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Finding the Fourth Proportional to 2,350.31, 3,525.46 and 706.85

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Solution

The fourth proportional to 2,350.31, 3,525.46 and 706.85 is: 1,060.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.31 : 3,525.46 = 706.85 : x
  2. Step 2: Convert to fraction form
    2,350.31/3,525.46 = 706.85/x
  3. Step 3: Cross multiply
    2,350.31x = 3,525.46 × 706.85
  4. Step 4: Simplify right side
    2,350.31x = 2,491,965.23
  5. Step 5: Solve for x
    x = 2,491,965.23/2,350.31
  6. Step 6: Final answer
    x = 1,060.27

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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.