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Finding the Fourth Proportional to 3,274.79, 4,913.49 and 1,496.69

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Solution

The fourth proportional to 3,274.79, 4,913.49 and 1,496.69 is: 2,245.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.79 : 4,913.49 = 1,496.69 : x
  2. Step 2: Convert to fraction form
    3,274.79/4,913.49 = 1,496.69/x
  3. Step 3: Cross multiply
    3,274.79x = 4,913.49 × 1,496.69
  4. Step 4: Simplify right side
    3,274.79x = 7,353,946.78
  5. Step 5: Solve for x
    x = 7,353,946.78/3,274.79
  6. Step 6: Final answer
    x = 2,245.63

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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.