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Finding the Fourth Proportional to 2,978.70, 4,108.79 and 1,970.40

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Solution

The fourth proportional to 2,978.70, 4,108.79 and 1,970.40 is: 2,717.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.70 : 4,108.79 = 1,970.40 : x
  2. Step 2: Convert to fraction form
    2,978.70/4,108.79 = 1,970.40/x
  3. Step 3: Cross multiply
    2,978.70x = 4,108.79 × 1,970.40
  4. Step 4: Simplify right side
    2,978.70x = 8,095,959.82
  5. Step 5: Solve for x
    x = 8,095,959.82/2,978.70
  6. Step 6: Final answer
    x = 2,717.95

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