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Finding the Fourth Proportional to 3,069.90, 4,604.22 and 1,121.46

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Solution

The fourth proportional to 3,069.90, 4,604.22 and 1,121.46 is: 1,681.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.90 : 4,604.22 = 1,121.46 : x
  2. Step 2: Convert to fraction form
    3,069.90/4,604.22 = 1,121.46/x
  3. Step 3: Cross multiply
    3,069.90x = 4,604.22 × 1,121.46
  4. Step 4: Simplify right side
    3,069.90x = 5,163,448.56
  5. Step 5: Solve for x
    x = 5,163,448.56/3,069.90
  6. Step 6: Final answer
    x = 1,681.96

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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.