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Finding the Fourth Proportional to 3,167.31, 4,751.74 and 2,232.08

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Solution

The fourth proportional to 3,167.31, 4,751.74 and 2,232.08 is: 3,348.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.31 : 4,751.74 = 2,232.08 : x
  2. Step 2: Convert to fraction form
    3,167.31/4,751.74 = 2,232.08/x
  3. Step 3: Cross multiply
    3,167.31x = 4,751.74 × 2,232.08
  4. Step 4: Simplify right side
    3,167.31x = 10,606,269.58
  5. Step 5: Solve for x
    x = 10,606,269.58/3,167.31
  6. Step 6: Final answer
    x = 3,348.67

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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.