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Finding the Fourth Proportional to 1,999.23, 2,983.58 and 1,780.53

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Solution

The fourth proportional to 1,999.23, 2,983.58 and 1,780.53 is: 2,657.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.23 : 2,983.58 = 1,780.53 : x
  2. Step 2: Convert to fraction form
    1,999.23/2,983.58 = 1,780.53/x
  3. Step 3: Cross multiply
    1,999.23x = 2,983.58 × 1,780.53
  4. Step 4: Simplify right side
    1,999.23x = 5,312,344.79
  5. Step 5: Solve for x
    x = 5,312,344.79/1,999.23
  6. Step 6: Final answer
    x = 2,657.20

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