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Finding the Fourth Proportional to 2,063.64, 2,847.56 and 1,224.21

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Solution

The fourth proportional to 2,063.64, 2,847.56 and 1,224.21 is: 1,689.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.64 : 2,847.56 = 1,224.21 : x
  2. Step 2: Convert to fraction form
    2,063.64/2,847.56 = 1,224.21/x
  3. Step 3: Cross multiply
    2,063.64x = 2,847.56 × 1,224.21
  4. Step 4: Simplify right side
    2,063.64x = 3,486,005.31
  5. Step 5: Solve for x
    x = 3,486,005.31/2,063.64
  6. Step 6: Final answer
    x = 1,689.25

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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.