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Finding the Fourth Proportional to 2,211.44, 3,317.67 and 824.81

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Solution

The fourth proportional to 2,211.44, 3,317.67 and 824.81 is: 1,237.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.44 : 3,317.67 = 824.81 : x
  2. Step 2: Convert to fraction form
    2,211.44/3,317.67 = 824.81/x
  3. Step 3: Cross multiply
    2,211.44x = 3,317.67 × 824.81
  4. Step 4: Simplify right side
    2,211.44x = 2,736,430.80
  5. Step 5: Solve for x
    x = 2,736,430.80/2,211.44
  6. Step 6: Final answer
    x = 1,237.40

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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.