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Finding the Fourth Proportional to 3,065.97, 4,229.63 and 1,806.42

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Solution

The fourth proportional to 3,065.97, 4,229.63 and 1,806.42 is: 2,492.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.97 : 4,229.63 = 1,806.42 : x
  2. Step 2: Convert to fraction form
    3,065.97/4,229.63 = 1,806.42/x
  3. Step 3: Cross multiply
    3,065.97x = 4,229.63 × 1,806.42
  4. Step 4: Simplify right side
    3,065.97x = 7,640,492.74
  5. Step 5: Solve for x
    x = 7,640,492.74/3,065.97
  6. Step 6: Final answer
    x = 2,492.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.