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Finding the Fourth Proportional to 1,596.51, 2,389.10 and 1,184.63

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Solution

The fourth proportional to 1,596.51, 2,389.10 and 1,184.63 is: 1,772.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.51 : 2,389.10 = 1,184.63 : x
  2. Step 2: Convert to fraction form
    1,596.51/2,389.10 = 1,184.63/x
  3. Step 3: Cross multiply
    1,596.51x = 2,389.10 × 1,184.63
  4. Step 4: Simplify right side
    1,596.51x = 2,830,181.66
  5. Step 5: Solve for x
    x = 2,830,181.66/1,596.51
  6. Step 6: Final answer
    x = 1,772.73

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