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Finding the Fourth Proportional to 2,049.66, 2,828.39 and 1,608.62

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Solution

The fourth proportional to 2,049.66, 2,828.39 and 1,608.62 is: 2,219.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.66 : 2,828.39 = 1,608.62 : x
  2. Step 2: Convert to fraction form
    2,049.66/2,828.39 = 1,608.62/x
  3. Step 3: Cross multiply
    2,049.66x = 2,828.39 × 1,608.62
  4. Step 4: Simplify right side
    2,049.66x = 4,549,782.54
  5. Step 5: Solve for x
    x = 4,549,782.54/2,049.66
  6. Step 6: Final answer
    x = 2,219.77

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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.