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Finding the Fourth Proportional to 2,779.97, 3,835.89 and 1,661.36

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Solution

The fourth proportional to 2,779.97, 3,835.89 and 1,661.36 is: 2,292.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.97 : 3,835.89 = 1,661.36 : x
  2. Step 2: Convert to fraction form
    2,779.97/3,835.89 = 1,661.36/x
  3. Step 3: Cross multiply
    2,779.97x = 3,835.89 × 1,661.36
  4. Step 4: Simplify right side
    2,779.97x = 6,372,775.03
  5. Step 5: Solve for x
    x = 6,372,775.03/2,779.97
  6. Step 6: Final answer
    x = 2,292.39

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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.