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Finding the Fourth Proportional to 2,280.44, 3,419.29 and 892.12

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Solution

The fourth proportional to 2,280.44, 3,419.29 and 892.12 is: 1,337.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.44 : 3,419.29 = 892.12 : x
  2. Step 2: Convert to fraction form
    2,280.44/3,419.29 = 892.12/x
  3. Step 3: Cross multiply
    2,280.44x = 3,419.29 × 892.12
  4. Step 4: Simplify right side
    2,280.44x = 3,050,416.99
  5. Step 5: Solve for x
    x = 3,050,416.99/2,280.44
  6. Step 6: Final answer
    x = 1,337.64

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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.