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Finding the Fourth Proportional to 1,806, 2,492.30 and 978

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Solution

The fourth proportional to 1,806, 2,492.30 and 978 is: 1,349.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806 : 2,492.30 = 978 : x
  2. Step 2: Convert to fraction form
    1,806/2,492.30 = 978/x
  3. Step 3: Cross multiply
    1,806x = 2,492.30 × 978
  4. Step 4: Simplify right side
    1,806x = 2,437,464.51
  5. Step 5: Solve for x
    x = 2,437,464.51/1,806
  6. Step 6: Final answer
    x = 1,349.65

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