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Finding the Fourth Proportional to 2,596.43, 3,896.70 and 1,136.63

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Solution

The fourth proportional to 2,596.43, 3,896.70 and 1,136.63 is: 1,705.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.43 : 3,896.70 = 1,136.63 : x
  2. Step 2: Convert to fraction form
    2,596.43/3,896.70 = 1,136.63/x
  3. Step 3: Cross multiply
    2,596.43x = 3,896.70 × 1,136.63
  4. Step 4: Simplify right side
    2,596.43x = 4,429,106.12
  5. Step 5: Solve for x
    x = 4,429,106.12/2,596.43
  6. Step 6: Final answer
    x = 1,705.84

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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.