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Finding the Fourth Proportional to 2,001.10, 3,001.65 and 1,855.30

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Solution

The fourth proportional to 2,001.10, 3,001.65 and 1,855.30 is: 2,782.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.10 : 3,001.65 = 1,855.30 : x
  2. Step 2: Convert to fraction form
    2,001.10/3,001.65 = 1,855.30/x
  3. Step 3: Cross multiply
    2,001.10x = 3,001.65 × 1,855.30
  4. Step 4: Simplify right side
    2,001.10x = 5,568,961.25
  5. Step 5: Solve for x
    x = 5,568,961.25/2,001.10
  6. Step 6: Final answer
    x = 2,782.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.