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Finding the Fourth Proportional to 2,567.54, 3,851.23 and 1,007.48

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Solution

The fourth proportional to 2,567.54, 3,851.23 and 1,007.48 is: 1,511.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.54 : 3,851.23 = 1,007.48 : x
  2. Step 2: Convert to fraction form
    2,567.54/3,851.23 = 1,007.48/x
  3. Step 3: Cross multiply
    2,567.54x = 3,851.23 × 1,007.48
  4. Step 4: Simplify right side
    2,567.54x = 3,880,037.20
  5. Step 5: Solve for x
    x = 3,880,037.20/2,567.54
  6. Step 6: Final answer
    x = 1,511.19

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