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Finding the Fourth Proportional to 2,775.75, 3,833.82 and 1,890.06

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Solution

The fourth proportional to 2,775.75, 3,833.82 and 1,890.06 is: 2,610.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.75 : 3,833.82 = 1,890.06 : x
  2. Step 2: Convert to fraction form
    2,775.75/3,833.82 = 1,890.06/x
  3. Step 3: Cross multiply
    2,775.75x = 3,833.82 × 1,890.06
  4. Step 4: Simplify right side
    2,775.75x = 7,246,149.83
  5. Step 5: Solve for x
    x = 7,246,149.83/2,775.75
  6. Step 6: Final answer
    x = 2,610.52

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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.