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Finding the Fourth Proportional to 2,738.82, 3,779.37 and 1,559.85

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Solution

The fourth proportional to 2,738.82, 3,779.37 and 1,559.85 is: 2,152.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.82 : 3,779.37 = 1,559.85 : x
  2. Step 2: Convert to fraction form
    2,738.82/3,779.37 = 1,559.85/x
  3. Step 3: Cross multiply
    2,738.82x = 3,779.37 × 1,559.85
  4. Step 4: Simplify right side
    2,738.82x = 5,895,250.29
  5. Step 5: Solve for x
    x = 5,895,250.29/2,738.82
  6. Step 6: Final answer
    x = 2,152.48

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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.