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Finding the Fourth Proportional to 2,744.68, 4,114.44 and 1,012

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Solution

The fourth proportional to 2,744.68, 4,114.44 and 1,012 is: 1,517.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.68 : 4,114.44 = 1,012 : x
  2. Step 2: Convert to fraction form
    2,744.68/4,114.44 = 1,012/x
  3. Step 3: Cross multiply
    2,744.68x = 4,114.44 × 1,012
  4. Step 4: Simplify right side
    2,744.68x = 4,163,813.28
  5. Step 5: Solve for x
    x = 4,163,813.28/2,744.68
  6. Step 6: Final answer
    x = 1,517.05

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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.