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Finding the Fourth Proportional to 2,703.87, 3,731.81 and 1,525.05

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Solution

The fourth proportional to 2,703.87, 3,731.81 and 1,525.05 is: 2,104.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.87 : 3,731.81 = 1,525.05 : x
  2. Step 2: Convert to fraction form
    2,703.87/3,731.81 = 1,525.05/x
  3. Step 3: Cross multiply
    2,703.87x = 3,731.81 × 1,525.05
  4. Step 4: Simplify right side
    2,703.87x = 5,691,189.22
  5. Step 5: Solve for x
    x = 5,691,189.22/2,703.87
  6. Step 6: Final answer
    x = 2,104.83

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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.