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Finding the Fourth Proportional to 2,281.26, 3,420.52 and 892.94

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Solution

The fourth proportional to 2,281.26, 3,420.52 and 892.94 is: 1,338.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.26 : 3,420.52 = 892.94 : x
  2. Step 2: Convert to fraction form
    2,281.26/3,420.52 = 892.94/x
  3. Step 3: Cross multiply
    2,281.26x = 3,420.52 × 892.94
  4. Step 4: Simplify right side
    2,281.26x = 3,054,321.55
  5. Step 5: Solve for x
    x = 3,054,321.55/2,281.26
  6. Step 6: Final answer
    x = 1,338.88

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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.