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Finding the Fourth Proportional to 2,083.76, 3,123.52 and 1,159.72

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Solution

The fourth proportional to 2,083.76, 3,123.52 and 1,159.72 is: 1,738.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.76 : 3,123.52 = 1,159.72 : x
  2. Step 2: Convert to fraction form
    2,083.76/3,123.52 = 1,159.72/x
  3. Step 3: Cross multiply
    2,083.76x = 3,123.52 × 1,159.72
  4. Step 4: Simplify right side
    2,083.76x = 3,622,408.61
  5. Step 5: Solve for x
    x = 3,622,408.61/2,083.76
  6. Step 6: Final answer
    x = 1,738.40

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