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Finding the Fourth Proportional to 2,605.65, 3,596.43 and 2,185.35

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Solution

The fourth proportional to 2,605.65, 3,596.43 and 2,185.35 is: 3,016.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.65 : 3,596.43 = 2,185.35 : x
  2. Step 2: Convert to fraction form
    2,605.65/3,596.43 = 2,185.35/x
  3. Step 3: Cross multiply
    2,605.65x = 3,596.43 × 2,185.35
  4. Step 4: Simplify right side
    2,605.65x = 7,859,458.30
  5. Step 5: Solve for x
    x = 7,859,458.30/2,605.65
  6. Step 6: Final answer
    x = 3,016.31

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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.