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Finding the Fourth Proportional to 3,338.98, 4,609.62 and 2,013

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Solution

The fourth proportional to 3,338.98, 4,609.62 and 2,013 is: 2,779.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,338.98 : 4,609.62 = 2,013 : x
  2. Step 2: Convert to fraction form
    3,338.98/4,609.62 = 2,013/x
  3. Step 3: Cross multiply
    3,338.98x = 4,609.62 × 2,013
  4. Step 4: Simplify right side
    3,338.98x = 9,279,165.06
  5. Step 5: Solve for x
    x = 9,279,165.06/3,338.98
  6. Step 6: Final answer
    x = 2,779.04

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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.