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Finding the Fourth Proportional to 2,043.10, 2,819.14 and 1,203.63

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Solution

The fourth proportional to 2,043.10, 2,819.14 and 1,203.63 is: 1,660.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.10 : 2,819.14 = 1,203.63 : x
  2. Step 2: Convert to fraction form
    2,043.10/2,819.14 = 1,203.63/x
  3. Step 3: Cross multiply
    2,043.10x = 2,819.14 × 1,203.63
  4. Step 4: Simplify right side
    2,043.10x = 3,393,201.48
  5. Step 5: Solve for x
    x = 3,393,201.48/2,043.10
  6. Step 6: Final answer
    x = 1,660.81

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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.