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Finding the Fourth Proportional to 1,769.25, 2,435.99 and 1,605.23

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Solution

The fourth proportional to 1,769.25, 2,435.99 and 1,605.23 is: 2,210.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.25 : 2,435.99 = 1,605.23 : x
  2. Step 2: Convert to fraction form
    1,769.25/2,435.99 = 1,605.23/x
  3. Step 3: Cross multiply
    1,769.25x = 2,435.99 × 1,605.23
  4. Step 4: Simplify right side
    1,769.25x = 3,910,324.23
  5. Step 5: Solve for x
    x = 3,910,324.23/1,769.25
  6. Step 6: Final answer
    x = 2,210.16

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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.