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Finding the Fourth Proportional to 2,102.62, 3,151.05 and 1,854.94

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Solution

The fourth proportional to 2,102.62, 3,151.05 and 1,854.94 is: 2,779.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.62 : 3,151.05 = 1,854.94 : x
  2. Step 2: Convert to fraction form
    2,102.62/3,151.05 = 1,854.94/x
  3. Step 3: Cross multiply
    2,102.62x = 3,151.05 × 1,854.94
  4. Step 4: Simplify right side
    2,102.62x = 5,845,008.69
  5. Step 5: Solve for x
    x = 5,845,008.69/2,102.62
  6. Step 6: Final answer
    x = 2,779.87

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