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Finding the Fourth Proportional to 1,981.52, 2,970.03 and 1,005.56

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Solution

The fourth proportional to 1,981.52, 2,970.03 and 1,005.56 is: 1,507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.52 : 2,970.03 = 1,005.56 : x
  2. Step 2: Convert to fraction form
    1,981.52/2,970.03 = 1,005.56/x
  3. Step 3: Cross multiply
    1,981.52x = 2,970.03 × 1,005.56
  4. Step 4: Simplify right side
    1,981.52x = 2,986,543.37
  5. Step 5: Solve for x
    x = 2,986,543.37/1,981.52
  6. Step 6: Final answer
    x = 1,507.20

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