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Finding the Fourth Proportional to 2,644.26, 3,966.75 and 913.02

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Solution

The fourth proportional to 2,644.26, 3,966.75 and 913.02 is: 1,369.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.26 : 3,966.75 = 913.02 : x
  2. Step 2: Convert to fraction form
    2,644.26/3,966.75 = 913.02/x
  3. Step 3: Cross multiply
    2,644.26x = 3,966.75 × 913.02
  4. Step 4: Simplify right side
    2,644.26x = 3,621,722.09
  5. Step 5: Solve for x
    x = 3,621,722.09/2,644.26
  6. Step 6: Final answer
    x = 1,369.65

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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.