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Finding the Fourth Proportional to 1,825.41, 2,740.06 and 785.93

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Solution

The fourth proportional to 1,825.41, 2,740.06 and 785.93 is: 1,179.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.41 : 2,740.06 = 785.93 : x
  2. Step 2: Convert to fraction form
    1,825.41/2,740.06 = 785.93/x
  3. Step 3: Cross multiply
    1,825.41x = 2,740.06 × 785.93
  4. Step 4: Simplify right side
    1,825.41x = 2,153,479.69
  5. Step 5: Solve for x
    x = 2,153,479.69/1,825.41
  6. Step 6: Final answer
    x = 1,179.73

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