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Finding the Fourth Proportional to 2,255.64, 3,383.60 and 868.98

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Solution

The fourth proportional to 2,255.64, 3,383.60 and 868.98 is: 1,303.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.64 : 3,383.60 = 868.98 : x
  2. Step 2: Convert to fraction form
    2,255.64/3,383.60 = 868.98/x
  3. Step 3: Cross multiply
    2,255.64x = 3,383.60 × 868.98
  4. Step 4: Simplify right side
    2,255.64x = 2,940,299.39
  5. Step 5: Solve for x
    x = 2,940,299.39/2,255.64
  6. Step 6: Final answer
    x = 1,303.53

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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.