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Finding the Fourth Proportional to 2,685.49, 4,027.93 and 737.44

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Solution

The fourth proportional to 2,685.49, 4,027.93 and 737.44 is: 1,106.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.49 : 4,027.93 = 737.44 : x
  2. Step 2: Convert to fraction form
    2,685.49/4,027.93 = 737.44/x
  3. Step 3: Cross multiply
    2,685.49x = 4,027.93 × 737.44
  4. Step 4: Simplify right side
    2,685.49x = 2,970,344.79
  5. Step 5: Solve for x
    x = 2,970,344.79/2,685.49
  6. Step 6: Final answer
    x = 1,106.07

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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.