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Finding the Fourth Proportional to 1,894.35, 2,839.50 and 798.42

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Solution

The fourth proportional to 1,894.35, 2,839.50 and 798.42 is: 1,196.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.35 : 2,839.50 = 798.42 : x
  2. Step 2: Convert to fraction form
    1,894.35/2,839.50 = 798.42/x
  3. Step 3: Cross multiply
    1,894.35x = 2,839.50 × 798.42
  4. Step 4: Simplify right side
    1,894.35x = 2,267,113.59
  5. Step 5: Solve for x
    x = 2,267,113.59/1,894.35
  6. Step 6: Final answer
    x = 1,196.78

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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.