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Finding the Fourth Proportional to 2,812.05, 4,217.30 and 837.67

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Solution

The fourth proportional to 2,812.05, 4,217.30 and 837.67 is: 1,256.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.05 : 4,217.30 = 837.67 : x
  2. Step 2: Convert to fraction form
    2,812.05/4,217.30 = 837.67/x
  3. Step 3: Cross multiply
    2,812.05x = 4,217.30 × 837.67
  4. Step 4: Simplify right side
    2,812.05x = 3,532,705.69
  5. Step 5: Solve for x
    x = 3,532,705.69/2,812.05
  6. Step 6: Final answer
    x = 1,256.27

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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.