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Finding the Fourth Proportional to 1,911.48, 2,850.81 and 1,878.68

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Solution

The fourth proportional to 1,911.48, 2,850.81 and 1,878.68 is: 2,801.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.48 : 2,850.81 = 1,878.68 : x
  2. Step 2: Convert to fraction form
    1,911.48/2,850.81 = 1,878.68/x
  3. Step 3: Cross multiply
    1,911.48x = 2,850.81 × 1,878.68
  4. Step 4: Simplify right side
    1,911.48x = 5,355,745.48
  5. Step 5: Solve for x
    x = 5,355,745.48/1,911.48
  6. Step 6: Final answer
    x = 2,801.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.