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Finding the Fourth Proportional to 1,850.78, 2,775.57 and 739.80

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Solution

The fourth proportional to 1,850.78, 2,775.57 and 739.80 is: 1,109.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.78 : 2,775.57 = 739.80 : x
  2. Step 2: Convert to fraction form
    1,850.78/2,775.57 = 739.80/x
  3. Step 3: Cross multiply
    1,850.78x = 2,775.57 × 739.80
  4. Step 4: Simplify right side
    1,850.78x = 2,053,363.91
  5. Step 5: Solve for x
    x = 2,053,363.91/1,850.78
  6. Step 6: Final answer
    x = 1,109.46

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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.