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Finding the Fourth Proportional to 1,705.86, 2,353.00 and 1,116.43

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Solution

The fourth proportional to 1,705.86, 2,353.00 and 1,116.43 is: 1,539.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.86 : 2,353.00 = 1,116.43 : x
  2. Step 2: Convert to fraction form
    1,705.86/2,353.00 = 1,116.43/x
  3. Step 3: Cross multiply
    1,705.86x = 2,353.00 × 1,116.43
  4. Step 4: Simplify right side
    1,705.86x = 2,626,966.45
  5. Step 5: Solve for x
    x = 2,626,966.45/1,705.86
  6. Step 6: Final answer
    x = 1,539.97

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