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Finding the Fourth Proportional to 2,461.80, 3,690.44 and 1,584.52

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Solution

The fourth proportional to 2,461.80, 3,690.44 and 1,584.52 is: 2,375.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.80 : 3,690.44 = 1,584.52 : x
  2. Step 2: Convert to fraction form
    2,461.80/3,690.44 = 1,584.52/x
  3. Step 3: Cross multiply
    2,461.80x = 3,690.44 × 1,584.52
  4. Step 4: Simplify right side
    2,461.80x = 5,847,575.99
  5. Step 5: Solve for x
    x = 5,847,575.99/2,461.80
  6. Step 6: Final answer
    x = 2,375.33

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