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Finding the Fourth Proportional to 2,276.84, 3,415.47 and 978.01

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Solution

The fourth proportional to 2,276.84, 3,415.47 and 978.01 is: 1,467.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.84 : 3,415.47 = 978.01 : x
  2. Step 2: Convert to fraction form
    2,276.84/3,415.47 = 978.01/x
  3. Step 3: Cross multiply
    2,276.84x = 3,415.47 × 978.01
  4. Step 4: Simplify right side
    2,276.84x = 3,340,341.85
  5. Step 5: Solve for x
    x = 3,340,341.85/2,276.84
  6. Step 6: Final answer
    x = 1,467.10

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