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Finding the Fourth Proportional to 2,819.40, 3,889.40 and 1,825.53

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Solution

The fourth proportional to 2,819.40, 3,889.40 and 1,825.53 is: 2,518.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.40 : 3,889.40 = 1,825.53 : x
  2. Step 2: Convert to fraction form
    2,819.40/3,889.40 = 1,825.53/x
  3. Step 3: Cross multiply
    2,819.40x = 3,889.40 × 1,825.53
  4. Step 4: Simplify right side
    2,819.40x = 7,100,207.25
  5. Step 5: Solve for x
    x = 7,100,207.25/2,819.40
  6. Step 6: Final answer
    x = 2,518.34

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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.