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Finding the Fourth Proportional to 1,584.06, 2,369.34 and 1,506.30

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Solution

The fourth proportional to 1,584.06, 2,369.34 and 1,506.30 is: 2,253.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.06 : 2,369.34 = 1,506.30 : x
  2. Step 2: Convert to fraction form
    1,584.06/2,369.34 = 1,506.30/x
  3. Step 3: Cross multiply
    1,584.06x = 2,369.34 × 1,506.30
  4. Step 4: Simplify right side
    1,584.06x = 3,568,936.84
  5. Step 5: Solve for x
    x = 3,568,936.84/1,584.06
  6. Step 6: Final answer
    x = 2,253.03

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