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Finding the Fourth Proportional to 2,045.76, 3,068.91 and 1,005.80

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Solution

The fourth proportional to 2,045.76, 3,068.91 and 1,005.80 is: 1,508.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.76 : 3,068.91 = 1,005.80 : x
  2. Step 2: Convert to fraction form
    2,045.76/3,068.91 = 1,005.80/x
  3. Step 3: Cross multiply
    2,045.76x = 3,068.91 × 1,005.80
  4. Step 4: Simplify right side
    2,045.76x = 3,086,694.33
  5. Step 5: Solve for x
    x = 3,086,694.33/2,045.76
  6. Step 6: Final answer
    x = 1,508.83

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