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Finding the Fourth Proportional to 2,146.57, 3,220.00 and 685.83

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Solution

The fourth proportional to 2,146.57, 3,220.00 and 685.83 is: 1,028.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.57 : 3,220.00 = 685.83 : x
  2. Step 2: Convert to fraction form
    2,146.57/3,220.00 = 685.83/x
  3. Step 3: Cross multiply
    2,146.57x = 3,220.00 × 685.83
  4. Step 4: Simplify right side
    2,146.57x = 2,208,370.89
  5. Step 5: Solve for x
    x = 2,208,370.89/2,146.57
  6. Step 6: Final answer
    x = 1,028.79

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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.