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Finding the Fourth Proportional to 2,070.21, 3,103.82 and 683.13

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Solution

The fourth proportional to 2,070.21, 3,103.82 and 683.13 is: 1,024.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.21 : 3,103.82 = 683.13 : x
  2. Step 2: Convert to fraction form
    2,070.21/3,103.82 = 683.13/x
  3. Step 3: Cross multiply
    2,070.21x = 3,103.82 × 683.13
  4. Step 4: Simplify right side
    2,070.21x = 2,120,309.14
  5. Step 5: Solve for x
    x = 2,120,309.14/2,070.21
  6. Step 6: Final answer
    x = 1,024.20

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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.