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Finding the Fourth Proportional to 1,294.72, 1,942.40 and 1,066.24

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Solution

The fourth proportional to 1,294.72, 1,942.40 and 1,066.24 is: 1,599.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.72 : 1,942.40 = 1,066.24 : x
  2. Step 2: Convert to fraction form
    1,294.72/1,942.40 = 1,066.24/x
  3. Step 3: Cross multiply
    1,294.72x = 1,942.40 × 1,066.24
  4. Step 4: Simplify right side
    1,294.72x = 2,071,064.58
  5. Step 5: Solve for x
    x = 2,071,064.58/1,294.72
  6. Step 6: Final answer
    x = 1,599.62

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