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Finding the Fourth Proportional to 3,096.66, 4,274.05 and 1,855.38

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Solution

The fourth proportional to 3,096.66, 4,274.05 and 1,855.38 is: 2,560.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.66 : 4,274.05 = 1,855.38 : x
  2. Step 2: Convert to fraction form
    3,096.66/4,274.05 = 1,855.38/x
  3. Step 3: Cross multiply
    3,096.66x = 4,274.05 × 1,855.38
  4. Step 4: Simplify right side
    3,096.66x = 7,929,986.89
  5. Step 5: Solve for x
    x = 7,929,986.89/3,096.66
  6. Step 6: Final answer
    x = 2,560.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.