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Finding the Fourth Proportional to 2,211.78, 3,317.40 and 750.90

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Solution

The fourth proportional to 2,211.78, 3,317.40 and 750.90 is: 1,126.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.78 : 3,317.40 = 750.90 : x
  2. Step 2: Convert to fraction form
    2,211.78/3,317.40 = 750.90/x
  3. Step 3: Cross multiply
    2,211.78x = 3,317.40 × 750.90
  4. Step 4: Simplify right side
    2,211.78x = 2,491,035.66
  5. Step 5: Solve for x
    x = 2,491,035.66/2,211.78
  6. Step 6: Final answer
    x = 1,126.26

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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.