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Finding the Fourth Proportional to 2,042.62, 2,813.56 and 1,599.73

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Solution

The fourth proportional to 2,042.62, 2,813.56 and 1,599.73 is: 2,203.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.62 : 2,813.56 = 1,599.73 : x
  2. Step 2: Convert to fraction form
    2,042.62/2,813.56 = 1,599.73/x
  3. Step 3: Cross multiply
    2,042.62x = 2,813.56 × 1,599.73
  4. Step 4: Simplify right side
    2,042.62x = 4,500,936.34
  5. Step 5: Solve for x
    x = 4,500,936.34/2,042.62
  6. Step 6: Final answer
    x = 2,203.51

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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.