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Finding the Fourth Proportional to 2,070.34, 3,105.27 and 683.68

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Solution

The fourth proportional to 2,070.34, 3,105.27 and 683.68 is: 1,025.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.34 : 3,105.27 = 683.68 : x
  2. Step 2: Convert to fraction form
    2,070.34/3,105.27 = 683.68/x
  3. Step 3: Cross multiply
    2,070.34x = 3,105.27 × 683.68
  4. Step 4: Simplify right side
    2,070.34x = 2,123,010.99
  5. Step 5: Solve for x
    x = 2,123,010.99/2,070.34
  6. Step 6: Final answer
    x = 1,025.44

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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.