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Finding the Fourth Proportional to 2,461.56, 3,693.08 and 1,584.44

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Solution

The fourth proportional to 2,461.56, 3,693.08 and 1,584.44 is: 2,377.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.56 : 3,693.08 = 1,584.44 : x
  2. Step 2: Convert to fraction form
    2,461.56/3,693.08 = 1,584.44/x
  3. Step 3: Cross multiply
    2,461.56x = 3,693.08 × 1,584.44
  4. Step 4: Simplify right side
    2,461.56x = 5,851,463.68
  5. Step 5: Solve for x
    x = 5,851,463.68/2,461.56
  6. Step 6: Final answer
    x = 2,377.14

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