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Finding the Fourth Proportional to 2,211.63, 3,315.83 and 912.39

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Solution

The fourth proportional to 2,211.63, 3,315.83 and 912.39 is: 1,367.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.63 : 3,315.83 = 912.39 : x
  2. Step 2: Convert to fraction form
    2,211.63/3,315.83 = 912.39/x
  3. Step 3: Cross multiply
    2,211.63x = 3,315.83 × 912.39
  4. Step 4: Simplify right side
    2,211.63x = 3,025,325.57
  5. Step 5: Solve for x
    x = 3,025,325.57/2,211.63
  6. Step 6: Final answer
    x = 1,367.92

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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.