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Finding the Fourth Proportional to 2,094.84, 3,143.52 and 779.54

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Solution

The fourth proportional to 2,094.84, 3,143.52 and 779.54 is: 1,169.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.84 : 3,143.52 = 779.54 : x
  2. Step 2: Convert to fraction form
    2,094.84/3,143.52 = 779.54/x
  3. Step 3: Cross multiply
    2,094.84x = 3,143.52 × 779.54
  4. Step 4: Simplify right side
    2,094.84x = 2,450,499.58
  5. Step 5: Solve for x
    x = 2,450,499.58/2,094.84
  6. Step 6: Final answer
    x = 1,169.78

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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.