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Finding the Fourth Proportional to 2,280.96, 3,420.12 and 892.69

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Solution

The fourth proportional to 2,280.96, 3,420.12 and 892.69 is: 1,338.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.96 : 3,420.12 = 892.69 : x
  2. Step 2: Convert to fraction form
    2,280.96/3,420.12 = 892.69/x
  3. Step 3: Cross multiply
    2,280.96x = 3,420.12 × 892.69
  4. Step 4: Simplify right side
    2,280.96x = 3,053,101.72
  5. Step 5: Solve for x
    x = 3,053,101.72/2,280.96
  6. Step 6: Final answer
    x = 1,338.52

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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.