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Finding the Fourth Proportional to 2,006.68, 3,003.12 and 1,265.95

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Solution

The fourth proportional to 2,006.68, 3,003.12 and 1,265.95 is: 1,894.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.68 : 3,003.12 = 1,265.95 : x
  2. Step 2: Convert to fraction form
    2,006.68/3,003.12 = 1,265.95/x
  3. Step 3: Cross multiply
    2,006.68x = 3,003.12 × 1,265.95
  4. Step 4: Simplify right side
    2,006.68x = 3,801,792.26
  5. Step 5: Solve for x
    x = 3,801,792.26/2,006.68
  6. Step 6: Final answer
    x = 1,894.57

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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.