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Finding the Fourth Proportional to 1,978.02, 2,964.78 and 1,002.06

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Solution

The fourth proportional to 1,978.02, 2,964.78 and 1,002.06 is: 1,501.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.02 : 2,964.78 = 1,002.06 : x
  2. Step 2: Convert to fraction form
    1,978.02/2,964.78 = 1,002.06/x
  3. Step 3: Cross multiply
    1,978.02x = 2,964.78 × 1,002.06
  4. Step 4: Simplify right side
    1,978.02x = 2,970,887.45
  5. Step 5: Solve for x
    x = 2,970,887.45/1,978.02
  6. Step 6: Final answer
    x = 1,501.95

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