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Finding the Fourth Proportional to 2,070.03, 3,104.67 and 683.38

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Solution

The fourth proportional to 2,070.03, 3,104.67 and 683.38 is: 1,024.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.03 : 3,104.67 = 683.38 : x
  2. Step 2: Convert to fraction form
    2,070.03/3,104.67 = 683.38/x
  3. Step 3: Cross multiply
    2,070.03x = 3,104.67 × 683.38
  4. Step 4: Simplify right side
    2,070.03x = 2,121,669.38
  5. Step 5: Solve for x
    x = 2,121,669.38/2,070.03
  6. Step 6: Final answer
    x = 1,024.95

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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.