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Finding the Fourth Proportional to 2,741.78, 3,783.60 and 1,499.78

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Solution

The fourth proportional to 2,741.78, 3,783.60 and 1,499.78 is: 2,069.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.78 : 3,783.60 = 1,499.78 : x
  2. Step 2: Convert to fraction form
    2,741.78/3,783.60 = 1,499.78/x
  3. Step 3: Cross multiply
    2,741.78x = 3,783.60 × 1,499.78
  4. Step 4: Simplify right side
    2,741.78x = 5,674,567.61
  5. Step 5: Solve for x
    x = 5,674,567.61/2,741.78
  6. Step 6: Final answer
    x = 2,069.67

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