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Finding the Fourth Proportional to 1,776.39, 2,665.08 and 1,582.73

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Solution

The fourth proportional to 1,776.39, 2,665.08 and 1,582.73 is: 2,374.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.39 : 2,665.08 = 1,582.73 : x
  2. Step 2: Convert to fraction form
    1,776.39/2,665.08 = 1,582.73/x
  3. Step 3: Cross multiply
    1,776.39x = 2,665.08 × 1,582.73
  4. Step 4: Simplify right side
    1,776.39x = 4,218,102.07
  5. Step 5: Solve for x
    x = 4,218,102.07/1,776.39
  6. Step 6: Final answer
    x = 2,374.54

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