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Finding the Fourth Proportional to 1,460.59, 2,192.00 and 1,071.63

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Solution

The fourth proportional to 1,460.59, 2,192.00 and 1,071.63 is: 1,608.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.59 : 2,192.00 = 1,071.63 : x
  2. Step 2: Convert to fraction form
    1,460.59/2,192.00 = 1,071.63/x
  3. Step 3: Cross multiply
    1,460.59x = 2,192.00 × 1,071.63
  4. Step 4: Simplify right side
    1,460.59x = 2,349,007.60
  5. Step 5: Solve for x
    x = 2,349,007.60/1,460.59
  6. Step 6: Final answer
    x = 1,608.26

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