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Finding the Fourth Proportional to 1,372.84, 1,894.22 and 813.49

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Solution

The fourth proportional to 1,372.84, 1,894.22 and 813.49 is: 1,122.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.84 : 1,894.22 = 813.49 : x
  2. Step 2: Convert to fraction form
    1,372.84/1,894.22 = 813.49/x
  3. Step 3: Cross multiply
    1,372.84x = 1,894.22 × 813.49
  4. Step 4: Simplify right side
    1,372.84x = 1,540,919.56
  5. Step 5: Solve for x
    x = 1,540,919.56/1,372.84
  6. Step 6: Final answer
    x = 1,122.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.