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Finding the Fourth Proportional to 2,705.75, 4,057.97 and 1,039.54

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Solution

The fourth proportional to 2,705.75, 4,057.97 and 1,039.54 is: 1,559.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.75 : 4,057.97 = 1,039.54 : x
  2. Step 2: Convert to fraction form
    2,705.75/4,057.97 = 1,039.54/x
  3. Step 3: Cross multiply
    2,705.75x = 4,057.97 × 1,039.54
  4. Step 4: Simplify right side
    2,705.75x = 4,218,406.79
  5. Step 5: Solve for x
    x = 4,218,406.79/2,705.75
  6. Step 6: Final answer
    x = 1,559.05

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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.