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Finding the Fourth Proportional to 1,590.65, 2,381.57 and 1,199.47

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Solution

The fourth proportional to 1,590.65, 2,381.57 and 1,199.47 is: 1,795.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.65 : 2,381.57 = 1,199.47 : x
  2. Step 2: Convert to fraction form
    1,590.65/2,381.57 = 1,199.47/x
  3. Step 3: Cross multiply
    1,590.65x = 2,381.57 × 1,199.47
  4. Step 4: Simplify right side
    1,590.65x = 2,856,621.77
  5. Step 5: Solve for x
    x = 2,856,621.77/1,590.65
  6. Step 6: Final answer
    x = 1,795.88

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