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Finding the Fourth Proportional to 2,750.94, 3,795.87 and 1,757.10

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Solution

The fourth proportional to 2,750.94, 3,795.87 and 1,757.10 is: 2,424.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.94 : 3,795.87 = 1,757.10 : x
  2. Step 2: Convert to fraction form
    2,750.94/3,795.87 = 1,757.10/x
  3. Step 3: Cross multiply
    2,750.94x = 3,795.87 × 1,757.10
  4. Step 4: Simplify right side
    2,750.94x = 6,669,723.18
  5. Step 5: Solve for x
    x = 6,669,723.18/2,750.94
  6. Step 6: Final answer
    x = 2,424.53

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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.