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Finding the Fourth Proportional to 2,987.84, 4,481.76 and 1,256.16

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Solution

The fourth proportional to 2,987.84, 4,481.76 and 1,256.16 is: 1,884.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.84 : 4,481.76 = 1,256.16 : x
  2. Step 2: Convert to fraction form
    2,987.84/4,481.76 = 1,256.16/x
  3. Step 3: Cross multiply
    2,987.84x = 4,481.76 × 1,256.16
  4. Step 4: Simplify right side
    2,987.84x = 5,629,807.64
  5. Step 5: Solve for x
    x = 5,629,807.64/2,987.84
  6. Step 6: Final answer
    x = 1,884.24

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