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Finding the Fourth Proportional to 2,037.78, 3,057.14 and 739.25

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Solution

The fourth proportional to 2,037.78, 3,057.14 and 739.25 is: 1,109.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.78 : 3,057.14 = 739.25 : x
  2. Step 2: Convert to fraction form
    2,037.78/3,057.14 = 739.25/x
  3. Step 3: Cross multiply
    2,037.78x = 3,057.14 × 739.25
  4. Step 4: Simplify right side
    2,037.78x = 2,260,000.24
  5. Step 5: Solve for x
    x = 2,260,000.24/2,037.78
  6. Step 6: Final answer
    x = 1,109.05

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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.