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Finding the Fourth Proportional to 3,453.24, 4,766.26 and 2,256.12

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Solution

The fourth proportional to 3,453.24, 4,766.26 and 2,256.12 is: 3,113.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.24 : 4,766.26 = 2,256.12 : x
  2. Step 2: Convert to fraction form
    3,453.24/4,766.26 = 2,256.12/x
  3. Step 3: Cross multiply
    3,453.24x = 4,766.26 × 2,256.12
  4. Step 4: Simplify right side
    3,453.24x = 10,753,254.51
  5. Step 5: Solve for x
    x = 10,753,254.51/3,453.24
  6. Step 6: Final answer
    x = 3,113.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.