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Finding the Fourth Proportional to 1,900.74, 2,849.40 and 1,023.66

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Solution

The fourth proportional to 1,900.74, 2,849.40 and 1,023.66 is: 1,534.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.74 : 2,849.40 = 1,023.66 : x
  2. Step 2: Convert to fraction form
    1,900.74/2,849.40 = 1,023.66/x
  3. Step 3: Cross multiply
    1,900.74x = 2,849.40 × 1,023.66
  4. Step 4: Simplify right side
    1,900.74x = 2,916,816.80
  5. Step 5: Solve for x
    x = 2,916,816.80/1,900.74
  6. Step 6: Final answer
    x = 1,534.57

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