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Finding the Fourth Proportional to 1,571.81, 2,365.40 and 1,420.74

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Solution

The fourth proportional to 1,571.81, 2,365.40 and 1,420.74 is: 2,138.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.81 : 2,365.40 = 1,420.74 : x
  2. Step 2: Convert to fraction form
    1,571.81/2,365.40 = 1,420.74/x
  3. Step 3: Cross multiply
    1,571.81x = 2,365.40 × 1,420.74
  4. Step 4: Simplify right side
    1,571.81x = 3,360,621.95
  5. Step 5: Solve for x
    x = 3,360,621.95/1,571.81
  6. Step 6: Final answer
    x = 2,138.07

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