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Finding the Fourth Proportional to 1,784.09, 2,674.77 and 1,006.34

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Solution

The fourth proportional to 1,784.09, 2,674.77 and 1,006.34 is: 1,508.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.09 : 2,674.77 = 1,006.34 : x
  2. Step 2: Convert to fraction form
    1,784.09/2,674.77 = 1,006.34/x
  3. Step 3: Cross multiply
    1,784.09x = 2,674.77 × 1,006.34
  4. Step 4: Simplify right side
    1,784.09x = 2,691,731.60
  5. Step 5: Solve for x
    x = 2,691,731.60/1,784.09
  6. Step 6: Final answer
    x = 1,508.74

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