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Finding the Fourth Proportional to 3,194.98, 4,789.98 and 1,462.40

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Solution

The fourth proportional to 3,194.98, 4,789.98 and 1,462.40 is: 2,192.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.98 : 4,789.98 = 1,462.40 : x
  2. Step 2: Convert to fraction form
    3,194.98/4,789.98 = 1,462.40/x
  3. Step 3: Cross multiply
    3,194.98x = 4,789.98 × 1,462.40
  4. Step 4: Simplify right side
    3,194.98x = 7,004,866.75
  5. Step 5: Solve for x
    x = 7,004,866.75/3,194.98
  6. Step 6: Final answer
    x = 2,192.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.