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Finding the Fourth Proportional to 2,812.92, 4,203.68 and 2,523.84

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Solution

The fourth proportional to 2,812.92, 4,203.68 and 2,523.84 is: 3,771.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.92 : 4,203.68 = 2,523.84 : x
  2. Step 2: Convert to fraction form
    2,812.92/4,203.68 = 2,523.84/x
  3. Step 3: Cross multiply
    2,812.92x = 4,203.68 × 2,523.84
  4. Step 4: Simplify right side
    2,812.92x = 10,609,415.73
  5. Step 5: Solve for x
    x = 10,609,415.73/2,812.92
  6. Step 6: Final answer
    x = 3,771.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.