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Finding the Fourth Proportional to 1,728.73, 2,384.96 and 1,064.43

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Solution

The fourth proportional to 1,728.73, 2,384.96 and 1,064.43 is: 1,468.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.73 : 2,384.96 = 1,064.43 : x
  2. Step 2: Convert to fraction form
    1,728.73/2,384.96 = 1,064.43/x
  3. Step 3: Cross multiply
    1,728.73x = 2,384.96 × 1,064.43
  4. Step 4: Simplify right side
    1,728.73x = 2,538,611.05
  5. Step 5: Solve for x
    x = 2,538,611.05/1,728.73
  6. Step 6: Final answer
    x = 1,468.49

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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.