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Finding the Fourth Proportional to 2,838.87, 4,254.84 and 1,193.49

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Solution

The fourth proportional to 2,838.87, 4,254.84 and 1,193.49 is: 1,788.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.87 : 4,254.84 = 1,193.49 : x
  2. Step 2: Convert to fraction form
    2,838.87/4,254.84 = 1,193.49/x
  3. Step 3: Cross multiply
    2,838.87x = 4,254.84 × 1,193.49
  4. Step 4: Simplify right side
    2,838.87x = 5,078,108.99
  5. Step 5: Solve for x
    x = 5,078,108.99/2,838.87
  6. Step 6: Final answer
    x = 1,788.78

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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.