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Finding the Fourth Proportional to 2,211.67, 3,317.55 and 568.23

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Solution

The fourth proportional to 2,211.67, 3,317.55 and 568.23 is: 852.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.67 : 3,317.55 = 568.23 : x
  2. Step 2: Convert to fraction form
    2,211.67/3,317.55 = 568.23/x
  3. Step 3: Cross multiply
    2,211.67x = 3,317.55 × 568.23
  4. Step 4: Simplify right side
    2,211.67x = 1,885,131.44
  5. Step 5: Solve for x
    x = 1,885,131.44/2,211.67
  6. Step 6: Final answer
    x = 852.36

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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.