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Finding the Fourth Proportional to 2,313.70, 3,452.73 and 1,849.30

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Solution

The fourth proportional to 2,313.70, 3,452.73 and 1,849.30 is: 2,759.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.70 : 3,452.73 = 1,849.30 : x
  2. Step 2: Convert to fraction form
    2,313.70/3,452.73 = 1,849.30/x
  3. Step 3: Cross multiply
    2,313.70x = 3,452.73 × 1,849.30
  4. Step 4: Simplify right side
    2,313.70x = 6,385,133.59
  5. Step 5: Solve for x
    x = 6,385,133.59/2,313.70
  6. Step 6: Final answer
    x = 2,759.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.