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Finding the Fourth Proportional to 2,596.15, 3,887.16 and 2,197.71

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Solution

The fourth proportional to 2,596.15, 3,887.16 and 2,197.71 is: 3,290.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.15 : 3,887.16 = 2,197.71 : x
  2. Step 2: Convert to fraction form
    2,596.15/3,887.16 = 2,197.71/x
  3. Step 3: Cross multiply
    2,596.15x = 3,887.16 × 2,197.71
  4. Step 4: Simplify right side
    2,596.15x = 8,542,849.77
  5. Step 5: Solve for x
    x = 8,542,849.77/2,596.15
  6. Step 6: Final answer
    x = 3,290.58

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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.