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Finding the Fourth Proportional to 1,644.64, 2,478.36 and 1,629.92

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Solution

The fourth proportional to 1,644.64, 2,478.36 and 1,629.92 is: 2,456.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.64 : 2,478.36 = 1,629.92 : x
  2. Step 2: Convert to fraction form
    1,644.64/2,478.36 = 1,629.92/x
  3. Step 3: Cross multiply
    1,644.64x = 2,478.36 × 1,629.92
  4. Step 4: Simplify right side
    1,644.64x = 4,039,528.53
  5. Step 5: Solve for x
    x = 4,039,528.53/1,644.64
  6. Step 6: Final answer
    x = 2,456.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.