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Finding the Fourth Proportional to 2,606.37, 3,911.07 and 964.06

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Solution

The fourth proportional to 2,606.37, 3,911.07 and 964.06 is: 1,446.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.37 : 3,911.07 = 964.06 : x
  2. Step 2: Convert to fraction form
    2,606.37/3,911.07 = 964.06/x
  3. Step 3: Cross multiply
    2,606.37x = 3,911.07 × 964.06
  4. Step 4: Simplify right side
    2,606.37x = 3,770,506.14
  5. Step 5: Solve for x
    x = 3,770,506.14/2,606.37
  6. Step 6: Final answer
    x = 1,446.65

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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.