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Finding the Fourth Proportional to 2,608.49, 3,913.02 and 1,049.03

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Solution

The fourth proportional to 2,608.49, 3,913.02 and 1,049.03 is: 1,573.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.49 : 3,913.02 = 1,049.03 : x
  2. Step 2: Convert to fraction form
    2,608.49/3,913.02 = 1,049.03/x
  3. Step 3: Cross multiply
    2,608.49x = 3,913.02 × 1,049.03
  4. Step 4: Simplify right side
    2,608.49x = 4,104,855.81
  5. Step 5: Solve for x
    x = 4,104,855.81/2,608.49
  6. Step 6: Final answer
    x = 1,573.66

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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.