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Finding the Fourth Proportional to 2,685.76, 3,706.40 and 1,741.93

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Solution

The fourth proportional to 2,685.76, 3,706.40 and 1,741.93 is: 2,403.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.76 : 3,706.40 = 1,741.93 : x
  2. Step 2: Convert to fraction form
    2,685.76/3,706.40 = 1,741.93/x
  3. Step 3: Cross multiply
    2,685.76x = 3,706.40 × 1,741.93
  4. Step 4: Simplify right side
    2,685.76x = 6,456,289.35
  5. Step 5: Solve for x
    x = 6,456,289.35/2,685.76
  6. Step 6: Final answer
    x = 2,403.90

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