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Finding the Fourth Proportional to 2,072.19, 3,108.57 and 686.46

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Solution

The fourth proportional to 2,072.19, 3,108.57 and 686.46 is: 1,029.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.19 : 3,108.57 = 686.46 : x
  2. Step 2: Convert to fraction form
    2,072.19/3,108.57 = 686.46/x
  3. Step 3: Cross multiply
    2,072.19x = 3,108.57 × 686.46
  4. Step 4: Simplify right side
    2,072.19x = 2,133,908.96
  5. Step 5: Solve for x
    x = 2,133,908.96/2,072.19
  6. Step 6: Final answer
    x = 1,029.78

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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.