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Finding the Fourth Proportional to 3,189.84, 4,784.76 and 1,456.44

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Solution

The fourth proportional to 3,189.84, 4,784.76 and 1,456.44 is: 2,184.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.84 : 4,784.76 = 1,456.44 : x
  2. Step 2: Convert to fraction form
    3,189.84/4,784.76 = 1,456.44/x
  3. Step 3: Cross multiply
    3,189.84x = 4,784.76 × 1,456.44
  4. Step 4: Simplify right side
    3,189.84x = 6,968,715.85
  5. Step 5: Solve for x
    x = 6,968,715.85/3,189.84
  6. Step 6: Final answer
    x = 2,184.66

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