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Finding the Fourth Proportional to 2,813.64, 4,218.94 and 1,583.45

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Solution

The fourth proportional to 2,813.64, 4,218.94 and 1,583.45 is: 2,374.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.64 : 4,218.94 = 1,583.45 : x
  2. Step 2: Convert to fraction form
    2,813.64/4,218.94 = 1,583.45/x
  3. Step 3: Cross multiply
    2,813.64x = 4,218.94 × 1,583.45
  4. Step 4: Simplify right side
    2,813.64x = 6,680,468.34
  5. Step 5: Solve for x
    x = 6,680,468.34/2,813.64
  6. Step 6: Final answer
    x = 2,374.32

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