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Finding the Fourth Proportional to 2,853.70, 3,938.01 and 1,674.74

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Solution

The fourth proportional to 2,853.70, 3,938.01 and 1,674.74 is: 2,311.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.70 : 3,938.01 = 1,674.74 : x
  2. Step 2: Convert to fraction form
    2,853.70/3,938.01 = 1,674.74/x
  3. Step 3: Cross multiply
    2,853.70x = 3,938.01 × 1,674.74
  4. Step 4: Simplify right side
    2,853.70x = 6,595,142.87
  5. Step 5: Solve for x
    x = 6,595,142.87/2,853.70
  6. Step 6: Final answer
    x = 2,311.09

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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.