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Finding the Fourth Proportional to 2,070.43, 3,105.75 and 683.89

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Solution

The fourth proportional to 2,070.43, 3,105.75 and 683.89 is: 1,025.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.43 : 3,105.75 = 683.89 : x
  2. Step 2: Convert to fraction form
    2,070.43/3,105.75 = 683.89/x
  3. Step 3: Cross multiply
    2,070.43x = 3,105.75 × 683.89
  4. Step 4: Simplify right side
    2,070.43x = 2,123,991.37
  5. Step 5: Solve for x
    x = 2,123,991.37/2,070.43
  6. Step 6: Final answer
    x = 1,025.87

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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.