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Finding the Fourth Proportional to 2,211.74, 3,317.60 and 568.28

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Solution

The fourth proportional to 2,211.74, 3,317.60 and 568.28 is: 852.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.74 : 3,317.60 = 568.28 : x
  2. Step 2: Convert to fraction form
    2,211.74/3,317.60 = 568.28/x
  3. Step 3: Cross multiply
    2,211.74x = 3,317.60 × 568.28
  4. Step 4: Simplify right side
    2,211.74x = 1,885,335.44
  5. Step 5: Solve for x
    x = 1,885,335.44/2,211.74
  6. Step 6: Final answer
    x = 852.42

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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.