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Finding the Fourth Proportional to 1,596.42, 2,390.46 and 1,366.74

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Solution

The fourth proportional to 1,596.42, 2,390.46 and 1,366.74 is: 2,046.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.42 : 2,390.46 = 1,366.74 : x
  2. Step 2: Convert to fraction form
    1,596.42/2,390.46 = 1,366.74/x
  3. Step 3: Cross multiply
    1,596.42x = 2,390.46 × 1,366.74
  4. Step 4: Simplify right side
    1,596.42x = 3,267,137.30
  5. Step 5: Solve for x
    x = 3,267,137.30/1,596.42
  6. Step 6: Final answer
    x = 2,046.54

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