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Finding the Fourth Proportional to 2,812.44, 4,212.64 and 2,282.96

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Solution

The fourth proportional to 2,812.44, 4,212.64 and 2,282.96 is: 3,419.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.44 : 4,212.64 = 2,282.96 : x
  2. Step 2: Convert to fraction form
    2,812.44/4,212.64 = 2,282.96/x
  3. Step 3: Cross multiply
    2,812.44x = 4,212.64 × 2,282.96
  4. Step 4: Simplify right side
    2,812.44x = 9,617,288.61
  5. Step 5: Solve for x
    x = 9,617,288.61/2,812.44
  6. Step 6: Final answer
    x = 3,419.55

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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.