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Finding the Fourth Proportional to 3,296.33, 4,546.82 and 1,899.08

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Solution

The fourth proportional to 3,296.33, 4,546.82 and 1,899.08 is: 2,619.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.33 : 4,546.82 = 1,899.08 : x
  2. Step 2: Convert to fraction form
    3,296.33/4,546.82 = 1,899.08/x
  3. Step 3: Cross multiply
    3,296.33x = 4,546.82 × 1,899.08
  4. Step 4: Simplify right side
    3,296.33x = 8,634,774.93
  5. Step 5: Solve for x
    x = 8,634,774.93/3,296.33
  6. Step 6: Final answer
    x = 2,619.51

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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.