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Finding the Fourth Proportional to 3,206.69, 4,811.40 and 1,128.13

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Solution

The fourth proportional to 3,206.69, 4,811.40 and 1,128.13 is: 1,692.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.69 : 4,811.40 = 1,128.13 : x
  2. Step 2: Convert to fraction form
    3,206.69/4,811.40 = 1,128.13/x
  3. Step 3: Cross multiply
    3,206.69x = 4,811.40 × 1,128.13
  4. Step 4: Simplify right side
    3,206.69x = 5,427,872.65
  5. Step 5: Solve for x
    x = 5,427,872.65/3,206.69
  6. Step 6: Final answer
    x = 1,692.67

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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.