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Finding the Fourth Proportional to 3,172.66, 4,756.26 and 2,245.30

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Solution

The fourth proportional to 3,172.66, 4,756.26 and 2,245.30 is: 3,366.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.66 : 4,756.26 = 2,245.30 : x
  2. Step 2: Convert to fraction form
    3,172.66/4,756.26 = 2,245.30/x
  3. Step 3: Cross multiply
    3,172.66x = 4,756.26 × 2,245.30
  4. Step 4: Simplify right side
    3,172.66x = 10,679,230.58
  5. Step 5: Solve for x
    x = 10,679,230.58/3,172.66
  6. Step 6: Final answer
    x = 3,366.02

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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.