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Finding the Fourth Proportional to 2,092.69, 2,884.83 and 1,594.47

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Solution

The fourth proportional to 2,092.69, 2,884.83 and 1,594.47 is: 2,198.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.69 : 2,884.83 = 1,594.47 : x
  2. Step 2: Convert to fraction form
    2,092.69/2,884.83 = 1,594.47/x
  3. Step 3: Cross multiply
    2,092.69x = 2,884.83 × 1,594.47
  4. Step 4: Simplify right side
    2,092.69x = 4,599,764.07
  5. Step 5: Solve for x
    x = 4,599,764.07/2,092.69
  6. Step 6: Final answer
    x = 2,198.01

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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.