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Finding the Fourth Proportional to 3,296.25, 4,548.84 and 1,899

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Solution

The fourth proportional to 3,296.25, 4,548.84 and 1,899 is: 2,620.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.25 : 4,548.84 = 1,899 : x
  2. Step 2: Convert to fraction form
    3,296.25/4,548.84 = 1,899/x
  3. Step 3: Cross multiply
    3,296.25x = 4,548.84 × 1,899
  4. Step 4: Simplify right side
    3,296.25x = 8,638,247.16
  5. Step 5: Solve for x
    x = 8,638,247.16/3,296.25
  6. Step 6: Final answer
    x = 2,620.63

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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.