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Finding the Fourth Proportional to 3,105.33, 4,659.92 and 1,256.46

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Solution

The fourth proportional to 3,105.33, 4,659.92 and 1,256.46 is: 1,885.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.33 : 4,659.92 = 1,256.46 : x
  2. Step 2: Convert to fraction form
    3,105.33/4,659.92 = 1,256.46/x
  3. Step 3: Cross multiply
    3,105.33x = 4,659.92 × 1,256.46
  4. Step 4: Simplify right side
    3,105.33x = 5,855,003.08
  5. Step 5: Solve for x
    x = 5,855,003.08/3,105.33
  6. Step 6: Final answer
    x = 1,885.47

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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.