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Finding the Fourth Proportional to 3,105.12, 4,657.64 and 1,256.22

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Solution

The fourth proportional to 3,105.12, 4,657.64 and 1,256.22 is: 1,884.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.12 : 4,657.64 = 1,256.22 : x
  2. Step 2: Convert to fraction form
    3,105.12/4,657.64 = 1,256.22/x
  3. Step 3: Cross multiply
    3,105.12x = 4,657.64 × 1,256.22
  4. Step 4: Simplify right side
    3,105.12x = 5,851,020.52
  5. Step 5: Solve for x
    x = 5,851,020.52/3,105.12
  6. Step 6: Final answer
    x = 1,884.31

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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.