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Finding the Fourth Proportional to 2,596.60, 3,894.96 and 865.22

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Solution

The fourth proportional to 2,596.60, 3,894.96 and 865.22 is: 1,297.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.60 : 3,894.96 = 865.22 : x
  2. Step 2: Convert to fraction form
    2,596.60/3,894.96 = 865.22/x
  3. Step 3: Cross multiply
    2,596.60x = 3,894.96 × 865.22
  4. Step 4: Simplify right side
    2,596.60x = 3,370,007.03
  5. Step 5: Solve for x
    x = 3,370,007.03/2,596.60
  6. Step 6: Final answer
    x = 1,297.85

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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.