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Finding the Fourth Proportional to 1,596.90, 2,393.70 and 1,157.07

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Solution

The fourth proportional to 1,596.90, 2,393.70 and 1,157.07 is: 1,734.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.90 : 2,393.70 = 1,157.07 : x
  2. Step 2: Convert to fraction form
    1,596.90/2,393.70 = 1,157.07/x
  3. Step 3: Cross multiply
    1,596.90x = 2,393.70 × 1,157.07
  4. Step 4: Simplify right side
    1,596.90x = 2,769,678.46
  5. Step 5: Solve for x
    x = 2,769,678.46/1,596.90
  6. Step 6: Final answer
    x = 1,734.41

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