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Finding the Fourth Proportional to 1,584.59, 2,378.30 and 1,152.05

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Solution

The fourth proportional to 1,584.59, 2,378.30 and 1,152.05 is: 1,729.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.59 : 2,378.30 = 1,152.05 : x
  2. Step 2: Convert to fraction form
    1,584.59/2,378.30 = 1,152.05/x
  3. Step 3: Cross multiply
    1,584.59x = 2,378.30 × 1,152.05
  4. Step 4: Simplify right side
    1,584.59x = 2,739,902.86
  5. Step 5: Solve for x
    x = 2,739,902.86/1,584.59
  6. Step 6: Final answer
    x = 1,729.10

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