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Finding the Fourth Proportional to 2,211.90, 3,317.22 and 750.78

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Solution

The fourth proportional to 2,211.90, 3,317.22 and 750.78 is: 1,125.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.90 : 3,317.22 = 750.78 : x
  2. Step 2: Convert to fraction form
    2,211.90/3,317.22 = 750.78/x
  3. Step 3: Cross multiply
    2,211.90x = 3,317.22 × 750.78
  4. Step 4: Simplify right side
    2,211.90x = 2,490,502.43
  5. Step 5: Solve for x
    x = 2,490,502.43/2,211.90
  6. Step 6: Final answer
    x = 1,125.96

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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.