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Finding the Fourth Proportional to 1,829.88, 2,740.13 and 1,007.24

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Solution

The fourth proportional to 1,829.88, 2,740.13 and 1,007.24 is: 1,508.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.88 : 2,740.13 = 1,007.24 : x
  2. Step 2: Convert to fraction form
    1,829.88/2,740.13 = 1,007.24/x
  3. Step 3: Cross multiply
    1,829.88x = 2,740.13 × 1,007.24
  4. Step 4: Simplify right side
    1,829.88x = 2,759,956.65
  5. Step 5: Solve for x
    x = 2,759,956.65/1,829.88
  6. Step 6: Final answer
    x = 1,508.27

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