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Finding the Fourth Proportional to 2,070.32, 3,105.68 and 683.80

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Solution

The fourth proportional to 2,070.32, 3,105.68 and 683.80 is: 1,025.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.32 : 3,105.68 = 683.80 : x
  2. Step 2: Convert to fraction form
    2,070.32/3,105.68 = 683.80/x
  3. Step 3: Cross multiply
    2,070.32x = 3,105.68 × 683.80
  4. Step 4: Simplify right side
    2,070.32x = 2,123,663.98
  5. Step 5: Solve for x
    x = 2,123,663.98/2,070.32
  6. Step 6: Final answer
    x = 1,025.77

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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.