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Finding the Fourth Proportional to 1,819.83, 2,512.20 and 1,491.78

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Solution

The fourth proportional to 1,819.83, 2,512.20 and 1,491.78 is: 2,059.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.83 : 2,512.20 = 1,491.78 : x
  2. Step 2: Convert to fraction form
    1,819.83/2,512.20 = 1,491.78/x
  3. Step 3: Cross multiply
    1,819.83x = 2,512.20 × 1,491.78
  4. Step 4: Simplify right side
    1,819.83x = 3,747,642.26
  5. Step 5: Solve for x
    x = 3,747,642.26/1,819.83
  6. Step 6: Final answer
    x = 2,059.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.