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Finding the Fourth Proportional to 1,854.42, 2,780.27 and 1,123.86

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Solution

The fourth proportional to 1,854.42, 2,780.27 and 1,123.86 is: 1,684.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.42 : 2,780.27 = 1,123.86 : x
  2. Step 2: Convert to fraction form
    1,854.42/2,780.27 = 1,123.86/x
  3. Step 3: Cross multiply
    1,854.42x = 2,780.27 × 1,123.86
  4. Step 4: Simplify right side
    1,854.42x = 3,124,634.24
  5. Step 5: Solve for x
    x = 3,124,634.24/1,854.42
  6. Step 6: Final answer
    x = 1,684.97

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