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Finding the Fourth Proportional to 2,310.87, 3,466.16 and 923.82

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Solution

The fourth proportional to 2,310.87, 3,466.16 and 923.82 is: 1,385.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.87 : 3,466.16 = 923.82 : x
  2. Step 2: Convert to fraction form
    2,310.87/3,466.16 = 923.82/x
  3. Step 3: Cross multiply
    2,310.87x = 3,466.16 × 923.82
  4. Step 4: Simplify right side
    2,310.87x = 3,202,103.31
  5. Step 5: Solve for x
    x = 3,202,103.31/2,310.87
  6. Step 6: Final answer
    x = 1,385.67

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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.