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Finding the Fourth Proportional to 2,687.35, 4,020.67 and 1,647.13

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Solution

The fourth proportional to 2,687.35, 4,020.67 and 1,647.13 is: 2,464.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.35 : 4,020.67 = 1,647.13 : x
  2. Step 2: Convert to fraction form
    2,687.35/4,020.67 = 1,647.13/x
  3. Step 3: Cross multiply
    2,687.35x = 4,020.67 × 1,647.13
  4. Step 4: Simplify right side
    2,687.35x = 6,622,566.18
  5. Step 5: Solve for x
    x = 6,622,566.18/2,687.35
  6. Step 6: Final answer
    x = 2,464.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.