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Finding the Fourth Proportional to 2,207.85, 3,311.84 and 564.41

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Solution

The fourth proportional to 2,207.85, 3,311.84 and 564.41 is: 846.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.85 : 3,311.84 = 564.41 : x
  2. Step 2: Convert to fraction form
    2,207.85/3,311.84 = 564.41/x
  3. Step 3: Cross multiply
    2,207.85x = 3,311.84 × 564.41
  4. Step 4: Simplify right side
    2,207.85x = 1,869,216.23
  5. Step 5: Solve for x
    x = 1,869,216.23/2,207.85
  6. Step 6: Final answer
    x = 846.62

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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.