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Finding the Fourth Proportional to 2,256.63, 3,383.37 and 868.80

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Solution

The fourth proportional to 2,256.63, 3,383.37 and 868.80 is: 1,302.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.63 : 3,383.37 = 868.80 : x
  2. Step 2: Convert to fraction form
    2,256.63/3,383.37 = 868.80/x
  3. Step 3: Cross multiply
    2,256.63x = 3,383.37 × 868.80
  4. Step 4: Simplify right side
    2,256.63x = 2,939,471.86
  5. Step 5: Solve for x
    x = 2,939,471.86/2,256.63
  6. Step 6: Final answer
    x = 1,302.59

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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.