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Finding the Fourth Proportional to 2,596.17, 3,896.33 and 1,364.31

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Solution

The fourth proportional to 2,596.17, 3,896.33 and 1,364.31 is: 2,047.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.17 : 3,896.33 = 1,364.31 : x
  2. Step 2: Convert to fraction form
    2,596.17/3,896.33 = 1,364.31/x
  3. Step 3: Cross multiply
    2,596.17x = 3,896.33 × 1,364.31
  4. Step 4: Simplify right side
    2,596.17x = 5,315,801.98
  5. Step 5: Solve for x
    x = 5,315,801.98/2,596.17
  6. Step 6: Final answer
    x = 2,047.56

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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.