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Finding the Fourth Proportional to 2,975.78, 4,463.30 and 784.68

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Solution

The fourth proportional to 2,975.78, 4,463.30 and 784.68 is: 1,176.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.78 : 4,463.30 = 784.68 : x
  2. Step 2: Convert to fraction form
    2,975.78/4,463.30 = 784.68/x
  3. Step 3: Cross multiply
    2,975.78x = 4,463.30 × 784.68
  4. Step 4: Simplify right side
    2,975.78x = 3,502,262.24
  5. Step 5: Solve for x
    x = 3,502,262.24/2,975.78
  6. Step 6: Final answer
    x = 1,176.92

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