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Finding the Fourth Proportional to 2,438.40, 3,658.76 and 978.56

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Solution

The fourth proportional to 2,438.40, 3,658.76 and 978.56 is: 1,468.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.40 : 3,658.76 = 978.56 : x
  2. Step 2: Convert to fraction form
    2,438.40/3,658.76 = 978.56/x
  3. Step 3: Cross multiply
    2,438.40x = 3,658.76 × 978.56
  4. Step 4: Simplify right side
    2,438.40x = 3,580,316.19
  5. Step 5: Solve for x
    x = 3,580,316.19/2,438.40
  6. Step 6: Final answer
    x = 1,468.31

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