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Finding the Fourth Proportional to 2,996.65, 4,494.74 and 1,241.27

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Solution

The fourth proportional to 2,996.65, 4,494.74 and 1,241.27 is: 1,861.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.65 : 4,494.74 = 1,241.27 : x
  2. Step 2: Convert to fraction form
    2,996.65/4,494.74 = 1,241.27/x
  3. Step 3: Cross multiply
    2,996.65x = 4,494.74 × 1,241.27
  4. Step 4: Simplify right side
    2,996.65x = 5,579,206.36
  5. Step 5: Solve for x
    x = 5,579,206.36/2,996.65
  6. Step 6: Final answer
    x = 1,861.82

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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.