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Finding the Fourth Proportional to 1,584.66, 2,373.35 and 1,509.33

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Solution

The fourth proportional to 1,584.66, 2,373.35 and 1,509.33 is: 2,260.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.66 : 2,373.35 = 1,509.33 : x
  2. Step 2: Convert to fraction form
    1,584.66/2,373.35 = 1,509.33/x
  3. Step 3: Cross multiply
    1,584.66x = 2,373.35 × 1,509.33
  4. Step 4: Simplify right side
    1,584.66x = 3,582,178.20
  5. Step 5: Solve for x
    x = 3,582,178.20/1,584.66
  6. Step 6: Final answer
    x = 2,260.53

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