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Finding the Fourth Proportional to 1,705.35, 2,552.49 and 1,462.08

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Solution

The fourth proportional to 1,705.35, 2,552.49 and 1,462.08 is: 2,188.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.35 : 2,552.49 = 1,462.08 : x
  2. Step 2: Convert to fraction form
    1,705.35/2,552.49 = 1,462.08/x
  3. Step 3: Cross multiply
    1,705.35x = 2,552.49 × 1,462.08
  4. Step 4: Simplify right side
    1,705.35x = 3,731,944.58
  5. Step 5: Solve for x
    x = 3,731,944.58/1,705.35
  6. Step 6: Final answer
    x = 2,188.37

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