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Finding the Fourth Proportional to 2,606.58, 3,911.38 and 964.26

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Solution

The fourth proportional to 2,606.58, 3,911.38 and 964.26 is: 1,446.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.58 : 3,911.38 = 964.26 : x
  2. Step 2: Convert to fraction form
    2,606.58/3,911.38 = 964.26/x
  3. Step 3: Cross multiply
    2,606.58x = 3,911.38 × 964.26
  4. Step 4: Simplify right side
    2,606.58x = 3,771,584.87
  5. Step 5: Solve for x
    x = 3,771,584.87/2,606.58
  6. Step 6: Final answer
    x = 1,446.95

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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.