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Finding the Fourth Proportional to 2,812.02, 4,217.48 and 863.70

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Solution

The fourth proportional to 2,812.02, 4,217.48 and 863.70 is: 1,295.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.02 : 4,217.48 = 863.70 : x
  2. Step 2: Convert to fraction form
    2,812.02/4,217.48 = 863.70/x
  3. Step 3: Cross multiply
    2,812.02x = 4,217.48 × 863.70
  4. Step 4: Simplify right side
    2,812.02x = 3,642,637.48
  5. Step 5: Solve for x
    x = 3,642,637.48/2,812.02
  6. Step 6: Final answer
    x = 1,295.38

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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.