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Finding the Fourth Proportional to 2,097.72, 3,147.80 and 1,985.13

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Solution

The fourth proportional to 2,097.72, 3,147.80 and 1,985.13 is: 2,978.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.72 : 3,147.80 = 1,985.13 : x
  2. Step 2: Convert to fraction form
    2,097.72/3,147.80 = 1,985.13/x
  3. Step 3: Cross multiply
    2,097.72x = 3,147.80 × 1,985.13
  4. Step 4: Simplify right side
    2,097.72x = 6,248,782.29
  5. Step 5: Solve for x
    x = 6,248,782.29/2,097.72
  6. Step 6: Final answer
    x = 2,978.84

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