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Finding the Fourth Proportional to 2,262.11, 3,392.61 and 618.67

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Solution

The fourth proportional to 2,262.11, 3,392.61 and 618.67 is: 927.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.11 : 3,392.61 = 618.67 : x
  2. Step 2: Convert to fraction form
    2,262.11/3,392.61 = 618.67/x
  3. Step 3: Cross multiply
    2,262.11x = 3,392.61 × 618.67
  4. Step 4: Simplify right side
    2,262.11x = 2,098,889.07
  5. Step 5: Solve for x
    x = 2,098,889.07/2,262.11
  6. Step 6: Final answer
    x = 927.85

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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.