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Finding the Fourth Proportional to 4,929.46, 7,394.16 and 1,231.67

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Solution

The fourth proportional to 4,929.46, 7,394.16 and 1,231.67 is: 1,847.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,929.46 : 7,394.16 = 1,231.67 : x
  2. Step 2: Convert to fraction form
    4,929.46/7,394.16 = 1,231.67/x
  3. Step 3: Cross multiply
    4,929.46x = 7,394.16 × 1,231.67
  4. Step 4: Simplify right side
    4,929.46x = 9,107,165.05
  5. Step 5: Solve for x
    x = 9,107,165.05/4,929.46
  6. Step 6: Final answer
    x = 1,847.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.