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Finding the Fourth Proportional to 1,899.12, 2,834.88 and 1,855.92

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Solution

The fourth proportional to 1,899.12, 2,834.88 and 1,855.92 is: 2,770.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899.12 : 2,834.88 = 1,855.92 : x
  2. Step 2: Convert to fraction form
    1,899.12/2,834.88 = 1,855.92/x
  3. Step 3: Cross multiply
    1,899.12x = 2,834.88 × 1,855.92
  4. Step 4: Simplify right side
    1,899.12x = 5,261,310.49
  5. Step 5: Solve for x
    x = 5,261,310.49/1,899.12
  6. Step 6: Final answer
    x = 2,770.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.