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Finding the Fourth Proportional to 1,829.61, 2,741.94 and 1,006.65

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Solution

The fourth proportional to 1,829.61, 2,741.94 and 1,006.65 is: 1,508.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.61 : 2,741.94 = 1,006.65 : x
  2. Step 2: Convert to fraction form
    1,829.61/2,741.94 = 1,006.65/x
  3. Step 3: Cross multiply
    1,829.61x = 2,741.94 × 1,006.65
  4. Step 4: Simplify right side
    1,829.61x = 2,760,173.90
  5. Step 5: Solve for x
    x = 2,760,173.90/1,829.61
  6. Step 6: Final answer
    x = 1,508.61

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