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Finding the Fourth Proportional to 2,211.66, 3,315.36 and 824.61

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Solution

The fourth proportional to 2,211.66, 3,315.36 and 824.61 is: 1,236.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.66 : 3,315.36 = 824.61 : x
  2. Step 2: Convert to fraction form
    2,211.66/3,315.36 = 824.61/x
  3. Step 3: Cross multiply
    2,211.66x = 3,315.36 × 824.61
  4. Step 4: Simplify right side
    2,211.66x = 2,733,879.01
  5. Step 5: Solve for x
    x = 2,733,879.01/2,211.66
  6. Step 6: Final answer
    x = 1,236.12

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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.