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Finding the Fourth Proportional to 1,252.54, 1,727.57 and 1,054.43

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Solution

The fourth proportional to 1,252.54, 1,727.57 and 1,054.43 is: 1,454.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.54 : 1,727.57 = 1,054.43 : x
  2. Step 2: Convert to fraction form
    1,252.54/1,727.57 = 1,054.43/x
  3. Step 3: Cross multiply
    1,252.54x = 1,727.57 × 1,054.43
  4. Step 4: Simplify right side
    1,252.54x = 1,821,601.64
  5. Step 5: Solve for x
    x = 1,821,601.64/1,252.54
  6. Step 6: Final answer
    x = 1,454.33

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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.