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Finding the Fourth Proportional to 1,984.53, 2,974.35 and 1,658.91

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Solution

The fourth proportional to 1,984.53, 2,974.35 and 1,658.91 is: 2,486.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.53 : 2,974.35 = 1,658.91 : x
  2. Step 2: Convert to fraction form
    1,984.53/2,974.35 = 1,658.91/x
  3. Step 3: Cross multiply
    1,984.53x = 2,974.35 × 1,658.91
  4. Step 4: Simplify right side
    1,984.53x = 4,934,178.96
  5. Step 5: Solve for x
    x = 4,934,178.96/1,984.53
  6. Step 6: Final answer
    x = 2,486.32

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