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Finding the Fourth Proportional to 1,351, 2,028.75 and 1,249.98

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Solution

The fourth proportional to 1,351, 2,028.75 and 1,249.98 is: 1,877.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351 : 2,028.75 = 1,249.98 : x
  2. Step 2: Convert to fraction form
    1,351/2,028.75 = 1,249.98/x
  3. Step 3: Cross multiply
    1,351x = 2,028.75 × 1,249.98
  4. Step 4: Simplify right side
    1,351x = 2,535,896.93
  5. Step 5: Solve for x
    x = 2,535,896.93/1,351
  6. Step 6: Final answer
    x = 1,877.05

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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.