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Finding the Fourth Proportional to 2,459.69, 3,688.75 and 978.42

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Solution

The fourth proportional to 2,459.69, 3,688.75 and 978.42 is: 1,467.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.69 : 3,688.75 = 978.42 : x
  2. Step 2: Convert to fraction form
    2,459.69/3,688.75 = 978.42/x
  3. Step 3: Cross multiply
    2,459.69x = 3,688.75 × 978.42
  4. Step 4: Simplify right side
    2,459.69x = 3,609,146.78
  5. Step 5: Solve for x
    x = 3,609,146.78/2,459.69
  6. Step 6: Final answer
    x = 1,467.32

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