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Finding the Fourth Proportional to 2,211.45, 3,318.68 and 912.91

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Solution

The fourth proportional to 2,211.45, 3,318.68 and 912.91 is: 1,369.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.45 : 3,318.68 = 912.91 : x
  2. Step 2: Convert to fraction form
    2,211.45/3,318.68 = 912.91/x
  3. Step 3: Cross multiply
    2,211.45x = 3,318.68 × 912.91
  4. Step 4: Simplify right side
    2,211.45x = 3,029,656.16
  5. Step 5: Solve for x
    x = 3,029,656.16/2,211.45
  6. Step 6: Final answer
    x = 1,369.99

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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.