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Finding the Fourth Proportional to 2,757.58, 3,805.68 and 1,709.98

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Solution

The fourth proportional to 2,757.58, 3,805.68 and 1,709.98 is: 2,359.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.58 : 3,805.68 = 1,709.98 : x
  2. Step 2: Convert to fraction form
    2,757.58/3,805.68 = 1,709.98/x
  3. Step 3: Cross multiply
    2,757.58x = 3,805.68 × 1,709.98
  4. Step 4: Simplify right side
    2,757.58x = 6,507,636.69
  5. Step 5: Solve for x
    x = 6,507,636.69/2,757.58
  6. Step 6: Final answer
    x = 2,359.91

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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.