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Finding the Fourth Proportional to 2,709.42, 4,065.24 and 978.18

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Solution

The fourth proportional to 2,709.42, 4,065.24 and 978.18 is: 1,467.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.42 : 4,065.24 = 978.18 : x
  2. Step 2: Convert to fraction form
    2,709.42/4,065.24 = 978.18/x
  3. Step 3: Cross multiply
    2,709.42x = 4,065.24 × 978.18
  4. Step 4: Simplify right side
    2,709.42x = 3,976,536.46
  5. Step 5: Solve for x
    x = 3,976,536.46/2,709.42
  6. Step 6: Final answer
    x = 1,467.67

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