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Finding the Fourth Proportional to 4,709, 7,064.76 and 1,631

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Solution

The fourth proportional to 4,709, 7,064.76 and 1,631 is: 2,446.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709 : 7,064.76 = 1,631 : x
  2. Step 2: Convert to fraction form
    4,709/7,064.76 = 1,631/x
  3. Step 3: Cross multiply
    4,709x = 7,064.76 × 1,631
  4. Step 4: Simplify right side
    4,709x = 11,522,623.56
  5. Step 5: Solve for x
    x = 11,522,623.56/4,709
  6. Step 6: Final answer
    x = 2,446.94

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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.