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Finding the Fourth Proportional to 2,146.85, 3,220.89 and 686.12

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Solution

The fourth proportional to 2,146.85, 3,220.89 and 686.12 is: 1,029.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.85 : 3,220.89 = 686.12 : x
  2. Step 2: Convert to fraction form
    2,146.85/3,220.89 = 686.12/x
  3. Step 3: Cross multiply
    2,146.85x = 3,220.89 × 686.12
  4. Step 4: Simplify right side
    2,146.85x = 2,209,900.94
  5. Step 5: Solve for x
    x = 2,209,900.94/2,146.85
  6. Step 6: Final answer
    x = 1,029.37

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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.