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Finding the Fourth Proportional to 2,037.94, 3,056.91 and 739.37

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Solution

The fourth proportional to 2,037.94, 3,056.91 and 739.37 is: 1,109.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.94 : 3,056.91 = 739.37 : x
  2. Step 2: Convert to fraction form
    2,037.94/3,056.91 = 739.37/x
  3. Step 3: Cross multiply
    2,037.94x = 3,056.91 × 739.37
  4. Step 4: Simplify right side
    2,037.94x = 2,260,187.55
  5. Step 5: Solve for x
    x = 2,260,187.55/2,037.94
  6. Step 6: Final answer
    x = 1,109.06

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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.