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Finding the Fourth Proportional to 2,209.61, 3,313.58 and 892.92

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Solution

The fourth proportional to 2,209.61, 3,313.58 and 892.92 is: 1,339.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.61 : 3,313.58 = 892.92 : x
  2. Step 2: Convert to fraction form
    2,209.61/3,313.58 = 892.92/x
  3. Step 3: Cross multiply
    2,209.61x = 3,313.58 × 892.92
  4. Step 4: Simplify right side
    2,209.61x = 2,958,761.85
  5. Step 5: Solve for x
    x = 2,958,761.85/2,209.61
  6. Step 6: Final answer
    x = 1,339.04

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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.