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Finding the Fourth Proportional to 2,596.26, 3,896.14 and 1,134.56

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Solution

The fourth proportional to 2,596.26, 3,896.14 and 1,134.56 is: 1,702.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.26 : 3,896.14 = 1,134.56 : x
  2. Step 2: Convert to fraction form
    2,596.26/3,896.14 = 1,134.56/x
  3. Step 3: Cross multiply
    2,596.26x = 3,896.14 × 1,134.56
  4. Step 4: Simplify right side
    2,596.26x = 4,420,404.60
  5. Step 5: Solve for x
    x = 4,420,404.60/2,596.26
  6. Step 6: Final answer
    x = 1,702.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.