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Finding the Fourth Proportional to 3,357.81, 4,634.18 and 2,013.82

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Solution

The fourth proportional to 3,357.81, 4,634.18 and 2,013.82 is: 2,779.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.81 : 4,634.18 = 2,013.82 : x
  2. Step 2: Convert to fraction form
    3,357.81/4,634.18 = 2,013.82/x
  3. Step 3: Cross multiply
    3,357.81x = 4,634.18 × 2,013.82
  4. Step 4: Simplify right side
    3,357.81x = 9,332,404.37
  5. Step 5: Solve for x
    x = 9,332,404.37/3,357.81
  6. Step 6: Final answer
    x = 2,779.31

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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.