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Finding the Fourth Proportional to 2,092.29, 2,884.20 and 1,594.07

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Solution

The fourth proportional to 2,092.29, 2,884.20 and 1,594.07 is: 2,197.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.29 : 2,884.20 = 1,594.07 : x
  2. Step 2: Convert to fraction form
    2,092.29/2,884.20 = 1,594.07/x
  3. Step 3: Cross multiply
    2,092.29x = 2,884.20 × 1,594.07
  4. Step 4: Simplify right side
    2,092.29x = 4,597,616.69
  5. Step 5: Solve for x
    x = 4,597,616.69/2,092.29
  6. Step 6: Final answer
    x = 2,197.41

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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.