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Finding the Fourth Proportional to 1,192.77, 1,784.48 and 1,054.26

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Solution

The fourth proportional to 1,192.77, 1,784.48 and 1,054.26 is: 1,577.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.77 : 1,784.48 = 1,054.26 : x
  2. Step 2: Convert to fraction form
    1,192.77/1,784.48 = 1,054.26/x
  3. Step 3: Cross multiply
    1,192.77x = 1,784.48 × 1,054.26
  4. Step 4: Simplify right side
    1,192.77x = 1,881,300.61
  5. Step 5: Solve for x
    x = 1,881,300.61/1,192.77
  6. Step 6: Final answer
    x = 1,577.25

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