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Finding the Fourth Proportional to 1,983.46, 2,975.34 and 596.70

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Solution

The fourth proportional to 1,983.46, 2,975.34 and 596.70 is: 895.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.46 : 2,975.34 = 596.70 : x
  2. Step 2: Convert to fraction form
    1,983.46/2,975.34 = 596.70/x
  3. Step 3: Cross multiply
    1,983.46x = 2,975.34 × 596.70
  4. Step 4: Simplify right side
    1,983.46x = 1,775,385.38
  5. Step 5: Solve for x
    x = 1,775,385.38/1,983.46
  6. Step 6: Final answer
    x = 895.10

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