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Finding the Fourth Proportional to 3,013, 4,157.96 and 1,833.84

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Solution

The fourth proportional to 3,013, 4,157.96 and 1,833.84 is: 2,530.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013 : 4,157.96 = 1,833.84 : x
  2. Step 2: Convert to fraction form
    3,013/4,157.96 = 1,833.84/x
  3. Step 3: Cross multiply
    3,013x = 4,157.96 × 1,833.84
  4. Step 4: Simplify right side
    3,013x = 7,625,033.37
  5. Step 5: Solve for x
    x = 7,625,033.37/3,013
  6. Step 6: Final answer
    x = 2,530.71

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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.