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Finding the Fourth Proportional to 1,584.53, 2,372.94 and 1,096.10

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Solution

The fourth proportional to 1,584.53, 2,372.94 and 1,096.10 is: 1,641.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.53 : 2,372.94 = 1,096.10 : x
  2. Step 2: Convert to fraction form
    1,584.53/2,372.94 = 1,096.10/x
  3. Step 3: Cross multiply
    1,584.53x = 2,372.94 × 1,096.10
  4. Step 4: Simplify right side
    1,584.53x = 2,600,967.67
  5. Step 5: Solve for x
    x = 2,600,967.67/1,584.53
  6. Step 6: Final answer
    x = 1,641.48

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