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Finding the Fourth Proportional to 2,190.69, 3,285.90 and 892.26

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Solution

The fourth proportional to 2,190.69, 3,285.90 and 892.26 is: 1,338.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.69 : 3,285.90 = 892.26 : x
  2. Step 2: Convert to fraction form
    2,190.69/3,285.90 = 892.26/x
  3. Step 3: Cross multiply
    2,190.69x = 3,285.90 × 892.26
  4. Step 4: Simplify right side
    2,190.69x = 2,931,877.13
  5. Step 5: Solve for x
    x = 2,931,877.13/2,190.69
  6. Step 6: Final answer
    x = 1,338.34

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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.