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Finding the Fourth Proportional to 2,063.83, 2,847.62 and 1,224.11

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Solution

The fourth proportional to 2,063.83, 2,847.62 and 1,224.11 is: 1,688.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.83 : 2,847.62 = 1,224.11 : x
  2. Step 2: Convert to fraction form
    2,063.83/2,847.62 = 1,224.11/x
  3. Step 3: Cross multiply
    2,063.83x = 2,847.62 × 1,224.11
  4. Step 4: Simplify right side
    2,063.83x = 3,485,788.94
  5. Step 5: Solve for x
    x = 3,485,788.94/2,063.83
  6. Step 6: Final answer
    x = 1,688.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.