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Finding the Fourth Proportional to 2,594.73, 3,579.56 and 1,599.64

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Solution

The fourth proportional to 2,594.73, 3,579.56 and 1,599.64 is: 2,206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.73 : 3,579.56 = 1,599.64 : x
  2. Step 2: Convert to fraction form
    2,594.73/3,579.56 = 1,599.64/x
  3. Step 3: Cross multiply
    2,594.73x = 3,579.56 × 1,599.64
  4. Step 4: Simplify right side
    2,594.73x = 5,726,007.36
  5. Step 5: Solve for x
    x = 5,726,007.36/2,594.73
  6. Step 6: Final answer
    x = 2,206.78

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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.