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Finding the Fourth Proportional to 3,274.63, 4,904.04 and 2,040.49

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Solution

The fourth proportional to 3,274.63, 4,904.04 and 2,040.49 is: 3,055.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.63 : 4,904.04 = 2,040.49 : x
  2. Step 2: Convert to fraction form
    3,274.63/4,904.04 = 2,040.49/x
  3. Step 3: Cross multiply
    3,274.63x = 4,904.04 × 2,040.49
  4. Step 4: Simplify right side
    3,274.63x = 10,006,658.36
  5. Step 5: Solve for x
    x = 10,006,658.36/3,274.63
  6. Step 6: Final answer
    x = 3,055.82

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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.