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Finding the Fourth Proportional to 2,035.25, 2,805.93 and 1,616.99

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Solution

The fourth proportional to 2,035.25, 2,805.93 and 1,616.99 is: 2,229.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.25 : 2,805.93 = 1,616.99 : x
  2. Step 2: Convert to fraction form
    2,035.25/2,805.93 = 1,616.99/x
  3. Step 3: Cross multiply
    2,035.25x = 2,805.93 × 1,616.99
  4. Step 4: Simplify right side
    2,035.25x = 4,537,160.75
  5. Step 5: Solve for x
    x = 4,537,160.75/2,035.25
  6. Step 6: Final answer
    x = 2,229.29

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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.