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Finding the Fourth Proportional to 3,154.99, 4,732.49 and 963.67

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Solution

The fourth proportional to 3,154.99, 4,732.49 and 963.67 is: 1,445.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.99 : 4,732.49 = 963.67 : x
  2. Step 2: Convert to fraction form
    3,154.99/4,732.49 = 963.67/x
  3. Step 3: Cross multiply
    3,154.99x = 4,732.49 × 963.67
  4. Step 4: Simplify right side
    3,154.99x = 4,560,558.64
  5. Step 5: Solve for x
    x = 4,560,558.64/3,154.99
  6. Step 6: Final answer
    x = 1,445.51

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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.