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Finding the Fourth Proportional to 2,114.94, 3,173.32 and 1,249.25

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Solution

The fourth proportional to 2,114.94, 3,173.32 and 1,249.25 is: 1,874.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.94 : 3,173.32 = 1,249.25 : x
  2. Step 2: Convert to fraction form
    2,114.94/3,173.32 = 1,249.25/x
  3. Step 3: Cross multiply
    2,114.94x = 3,173.32 × 1,249.25
  4. Step 4: Simplify right side
    2,114.94x = 3,964,270.01
  5. Step 5: Solve for x
    x = 3,964,270.01/2,114.94
  6. Step 6: Final answer
    x = 1,874.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.