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Finding the Fourth Proportional to 2,583.06, 3,870.02 and 1,607.70

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Solution

The fourth proportional to 2,583.06, 3,870.02 and 1,607.70 is: 2,408.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.06 : 3,870.02 = 1,607.70 : x
  2. Step 2: Convert to fraction form
    2,583.06/3,870.02 = 1,607.70/x
  3. Step 3: Cross multiply
    2,583.06x = 3,870.02 × 1,607.70
  4. Step 4: Simplify right side
    2,583.06x = 6,221,831.15
  5. Step 5: Solve for x
    x = 6,221,831.15/2,583.06
  6. Step 6: Final answer
    x = 2,408.71

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