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Finding the Fourth Proportional to 2,549.70, 3,831.77 and 1,509.89

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Solution

The fourth proportional to 2,549.70, 3,831.77 and 1,509.89 is: 2,269.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.70 : 3,831.77 = 1,509.89 : x
  2. Step 2: Convert to fraction form
    2,549.70/3,831.77 = 1,509.89/x
  3. Step 3: Cross multiply
    2,549.70x = 3,831.77 × 1,509.89
  4. Step 4: Simplify right side
    2,549.70x = 5,785,551.21
  5. Step 5: Solve for x
    x = 5,785,551.21/2,549.70
  6. Step 6: Final answer
    x = 2,269.11

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