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Finding the Fourth Proportional to 2,596.98, 3,893.07 and 1,036.61

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Solution

The fourth proportional to 2,596.98, 3,893.07 and 1,036.61 is: 1,553.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.98 : 3,893.07 = 1,036.61 : x
  2. Step 2: Convert to fraction form
    2,596.98/3,893.07 = 1,036.61/x
  3. Step 3: Cross multiply
    2,596.98x = 3,893.07 × 1,036.61
  4. Step 4: Simplify right side
    2,596.98x = 4,035,595.29
  5. Step 5: Solve for x
    x = 4,035,595.29/2,596.98
  6. Step 6: Final answer
    x = 1,553.96

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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.