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Finding the Fourth Proportional to 1,249.16, 1,874.82 and 941.36

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Solution

The fourth proportional to 1,249.16, 1,874.82 and 941.36 is: 1,412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.16 : 1,874.82 = 941.36 : x
  2. Step 2: Convert to fraction form
    1,249.16/1,874.82 = 941.36/x
  3. Step 3: Cross multiply
    1,249.16x = 1,874.82 × 941.36
  4. Step 4: Simplify right side
    1,249.16x = 1,764,880.56
  5. Step 5: Solve for x
    x = 1,764,880.56/1,249.16
  6. Step 6: Final answer
    x = 1,412.85

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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.