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Finding the Fourth Proportional to 3,206.42, 4,811.80 and 1,126.44

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Solution

The fourth proportional to 3,206.42, 4,811.80 and 1,126.44 is: 1,690.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.42 : 4,811.80 = 1,126.44 : x
  2. Step 2: Convert to fraction form
    3,206.42/4,811.80 = 1,126.44/x
  3. Step 3: Cross multiply
    3,206.42x = 4,811.80 × 1,126.44
  4. Step 4: Simplify right side
    3,206.42x = 5,420,203.99
  5. Step 5: Solve for x
    x = 5,420,203.99/3,206.42
  6. Step 6: Final answer
    x = 1,690.42

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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.