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Finding the Fourth Proportional to 1,974.66, 2,962.53 and 587.94

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Solution

The fourth proportional to 1,974.66, 2,962.53 and 587.94 is: 882.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.66 : 2,962.53 = 587.94 : x
  2. Step 2: Convert to fraction form
    1,974.66/2,962.53 = 587.94/x
  3. Step 3: Cross multiply
    1,974.66x = 2,962.53 × 587.94
  4. Step 4: Simplify right side
    1,974.66x = 1,741,789.89
  5. Step 5: Solve for x
    x = 1,741,789.89/1,974.66
  6. Step 6: Final answer
    x = 882.07

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