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Finding the Fourth Proportional to 2,211.14, 3,315.56 and 650.94

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Solution

The fourth proportional to 2,211.14, 3,315.56 and 650.94 is: 976.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.14 : 3,315.56 = 650.94 : x
  2. Step 2: Convert to fraction form
    2,211.14/3,315.56 = 650.94/x
  3. Step 3: Cross multiply
    2,211.14x = 3,315.56 × 650.94
  4. Step 4: Simplify right side
    2,211.14x = 2,158,226.04
  5. Step 5: Solve for x
    x = 2,158,226.04/2,211.14
  6. Step 6: Final answer
    x = 976.07

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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.