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Finding the Fourth Proportional to 2,037.20, 3,053.96 and 737.76

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Solution

The fourth proportional to 2,037.20, 3,053.96 and 737.76 is: 1,105.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.20 : 3,053.96 = 737.76 : x
  2. Step 2: Convert to fraction form
    2,037.20/3,053.96 = 737.76/x
  3. Step 3: Cross multiply
    2,037.20x = 3,053.96 × 737.76
  4. Step 4: Simplify right side
    2,037.20x = 2,253,089.53
  5. Step 5: Solve for x
    x = 2,253,089.53/2,037.20
  6. Step 6: Final answer
    x = 1,105.97

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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.