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Finding the Fourth Proportional to 2,148.10, 3,222.45 and 978.10

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Solution

The fourth proportional to 2,148.10, 3,222.45 and 978.10 is: 1,467.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.10 : 3,222.45 = 978.10 : x
  2. Step 2: Convert to fraction form
    2,148.10/3,222.45 = 978.10/x
  3. Step 3: Cross multiply
    2,148.10x = 3,222.45 × 978.10
  4. Step 4: Simplify right side
    2,148.10x = 3,151,870.29
  5. Step 5: Solve for x
    x = 3,151,870.29/2,148.10
  6. Step 6: Final answer
    x = 1,467.28

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