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Finding the Fourth Proportional to 1,897.56, 2,849.08 and 1,077.48

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Solution

The fourth proportional to 1,897.56, 2,849.08 and 1,077.48 is: 1,617.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.56 : 2,849.08 = 1,077.48 : x
  2. Step 2: Convert to fraction form
    1,897.56/2,849.08 = 1,077.48/x
  3. Step 3: Cross multiply
    1,897.56x = 2,849.08 × 1,077.48
  4. Step 4: Simplify right side
    1,897.56x = 3,069,826.72
  5. Step 5: Solve for x
    x = 3,069,826.72/1,897.56
  6. Step 6: Final answer
    x = 1,617.78

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