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Finding the Fourth Proportional to 2,705.36, 4,057.56 and 950.60

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Solution

The fourth proportional to 2,705.36, 4,057.56 and 950.60 is: 1,425.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.36 : 4,057.56 = 950.60 : x
  2. Step 2: Convert to fraction form
    2,705.36/4,057.56 = 950.60/x
  3. Step 3: Cross multiply
    2,705.36x = 4,057.56 × 950.60
  4. Step 4: Simplify right side
    2,705.36x = 3,857,116.54
  5. Step 5: Solve for x
    x = 3,857,116.54/2,705.36
  6. Step 6: Final answer
    x = 1,425.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.