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Finding the Fourth Proportional to 2,446.64, 3,377.44 and 1,563.64

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Solution

The fourth proportional to 2,446.64, 3,377.44 and 1,563.64 is: 2,158.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.64 : 3,377.44 = 1,563.64 : x
  2. Step 2: Convert to fraction form
    2,446.64/3,377.44 = 1,563.64/x
  3. Step 3: Cross multiply
    2,446.64x = 3,377.44 × 1,563.64
  4. Step 4: Simplify right side
    2,446.64x = 5,281,100.28
  5. Step 5: Solve for x
    x = 5,281,100.28/2,446.64
  6. Step 6: Final answer
    x = 2,158.51

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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.