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Finding the Fourth Proportional to 3,430.33, 5,144.90 and 964.56

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Solution

The fourth proportional to 3,430.33, 5,144.90 and 964.56 is: 1,446.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.33 : 5,144.90 = 964.56 : x
  2. Step 2: Convert to fraction form
    3,430.33/5,144.90 = 964.56/x
  3. Step 3: Cross multiply
    3,430.33x = 5,144.90 × 964.56
  4. Step 4: Simplify right side
    3,430.33x = 4,962,586.22
  5. Step 5: Solve for x
    x = 4,962,586.22/3,430.33
  6. Step 6: Final answer
    x = 1,446.68

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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.