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Finding the Fourth Proportional to 2,509.05, 3,764.48 and 1,049.22

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Solution

The fourth proportional to 2,509.05, 3,764.48 and 1,049.22 is: 1,574.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.05 : 3,764.48 = 1,049.22 : x
  2. Step 2: Convert to fraction form
    2,509.05/3,764.48 = 1,049.22/x
  3. Step 3: Cross multiply
    2,509.05x = 3,764.48 × 1,049.22
  4. Step 4: Simplify right side
    2,509.05x = 3,949,762.46
  5. Step 5: Solve for x
    x = 3,949,762.46/2,509.05
  6. Step 6: Final answer
    x = 1,574.21

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