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Finding the Fourth Proportional to 2,605.13, 3,596.75 and 2,324.89

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Solution

The fourth proportional to 2,605.13, 3,596.75 and 2,324.89 is: 3,209.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.13 : 3,596.75 = 2,324.89 : x
  2. Step 2: Convert to fraction form
    2,605.13/3,596.75 = 2,324.89/x
  3. Step 3: Cross multiply
    2,605.13x = 3,596.75 × 2,324.89
  4. Step 4: Simplify right side
    2,605.13x = 8,362,042.54
  5. Step 5: Solve for x
    x = 8,362,042.54/2,605.13
  6. Step 6: Final answer
    x = 3,209.84

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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.