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Finding the Fourth Proportional to 3,169.75, 4,756.26 and 1,415.29

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Solution

The fourth proportional to 3,169.75, 4,756.26 and 1,415.29 is: 2,123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.75 : 4,756.26 = 1,415.29 : x
  2. Step 2: Convert to fraction form
    3,169.75/4,756.26 = 1,415.29/x
  3. Step 3: Cross multiply
    3,169.75x = 4,756.26 × 1,415.29
  4. Step 4: Simplify right side
    3,169.75x = 6,731,487.22
  5. Step 5: Solve for x
    x = 6,731,487.22/3,169.75
  6. Step 6: Final answer
    x = 2,123.67

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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.