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Finding the Fourth Proportional to 1,694.43, 2,534.62 and 1,590.75

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Solution

The fourth proportional to 1,694.43, 2,534.62 and 1,590.75 is: 2,379.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.43 : 2,534.62 = 1,590.75 : x
  2. Step 2: Convert to fraction form
    1,694.43/2,534.62 = 1,590.75/x
  3. Step 3: Cross multiply
    1,694.43x = 2,534.62 × 1,590.75
  4. Step 4: Simplify right side
    1,694.43x = 4,031,946.77
  5. Step 5: Solve for x
    x = 4,031,946.77/1,694.43
  6. Step 6: Final answer
    x = 2,379.53

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