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Finding the Fourth Proportional to 2,037.76, 3,057.27 and 739.24

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Solution

The fourth proportional to 2,037.76, 3,057.27 and 739.24 is: 1,109.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.76 : 3,057.27 = 739.24 : x
  2. Step 2: Convert to fraction form
    2,037.76/3,057.27 = 739.24/x
  3. Step 3: Cross multiply
    2,037.76x = 3,057.27 × 739.24
  4. Step 4: Simplify right side
    2,037.76x = 2,260,056.27
  5. Step 5: Solve for x
    x = 2,260,056.27/2,037.76
  6. Step 6: Final answer
    x = 1,109.09

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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.