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Finding the Fourth Proportional to 2,382.78, 3,569.44 and 1,589.70

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Solution

The fourth proportional to 2,382.78, 3,569.44 and 1,589.70 is: 2,381.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.78 : 3,569.44 = 1,589.70 : x
  2. Step 2: Convert to fraction form
    2,382.78/3,569.44 = 1,589.70/x
  3. Step 3: Cross multiply
    2,382.78x = 3,569.44 × 1,589.70
  4. Step 4: Simplify right side
    2,382.78x = 5,674,316.95
  5. Step 5: Solve for x
    x = 5,674,316.95/2,382.78
  6. Step 6: Final answer
    x = 2,381.39

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