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Finding the Fourth Proportional to 2,211.68, 3,317.68 and 1,115.44

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Solution

The fourth proportional to 2,211.68, 3,317.68 and 1,115.44 is: 1,673.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.68 : 3,317.68 = 1,115.44 : x
  2. Step 2: Convert to fraction form
    2,211.68/3,317.68 = 1,115.44/x
  3. Step 3: Cross multiply
    2,211.68x = 3,317.68 × 1,115.44
  4. Step 4: Simplify right side
    2,211.68x = 3,700,672.98
  5. Step 5: Solve for x
    x = 3,700,672.98/2,211.68
  6. Step 6: Final answer
    x = 1,673.24

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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.