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Finding the Fourth Proportional to 2,687.22, 3,710.34 and 1,640.70

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Solution

The fourth proportional to 2,687.22, 3,710.34 and 1,640.70 is: 2,265.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.22 : 3,710.34 = 1,640.70 : x
  2. Step 2: Convert to fraction form
    2,687.22/3,710.34 = 1,640.70/x
  3. Step 3: Cross multiply
    2,687.22x = 3,710.34 × 1,640.70
  4. Step 4: Simplify right side
    2,687.22x = 6,087,554.84
  5. Step 5: Solve for x
    x = 6,087,554.84/2,687.22
  6. Step 6: Final answer
    x = 2,265.37

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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.