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Finding the Fourth Proportional to 2,164.80, 3,244.44 and 1,008

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Solution

The fourth proportional to 2,164.80, 3,244.44 and 1,008 is: 1,510.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.80 : 3,244.44 = 1,008 : x
  2. Step 2: Convert to fraction form
    2,164.80/3,244.44 = 1,008/x
  3. Step 3: Cross multiply
    2,164.80x = 3,244.44 × 1,008
  4. Step 4: Simplify right side
    2,164.80x = 3,270,395.52
  5. Step 5: Solve for x
    x = 3,270,395.52/2,164.80
  6. Step 6: Final answer
    x = 1,510.71

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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.