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Finding the Fourth Proportional to 1,863.06, 2,794.53 and 564.42

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Solution

The fourth proportional to 1,863.06, 2,794.53 and 564.42 is: 846.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.06 : 2,794.53 = 564.42 : x
  2. Step 2: Convert to fraction form
    1,863.06/2,794.53 = 564.42/x
  3. Step 3: Cross multiply
    1,863.06x = 2,794.53 × 564.42
  4. Step 4: Simplify right side
    1,863.06x = 1,577,288.62
  5. Step 5: Solve for x
    x = 1,577,288.62/1,863.06
  6. Step 6: Final answer
    x = 846.61

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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.