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Finding the Fourth Proportional to 2,596.44, 3,896.22 and 1,036.12

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Solution

The fourth proportional to 2,596.44, 3,896.22 and 1,036.12 is: 1,554.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.44 : 3,896.22 = 1,036.12 : x
  2. Step 2: Convert to fraction form
    2,596.44/3,896.22 = 1,036.12/x
  3. Step 3: Cross multiply
    2,596.44x = 3,896.22 × 1,036.12
  4. Step 4: Simplify right side
    2,596.44x = 4,036,951.47
  5. Step 5: Solve for x
    x = 4,036,951.47/2,596.44
  6. Step 6: Final answer
    x = 1,554.80

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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.