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Finding the Fourth Proportional to 2,164.39, 3,247.04 and 703.43

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Solution

The fourth proportional to 2,164.39, 3,247.04 and 703.43 is: 1,055.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.39 : 3,247.04 = 703.43 : x
  2. Step 2: Convert to fraction form
    2,164.39/3,247.04 = 703.43/x
  3. Step 3: Cross multiply
    2,164.39x = 3,247.04 × 703.43
  4. Step 4: Simplify right side
    2,164.39x = 2,284,065.35
  5. Step 5: Solve for x
    x = 2,284,065.35/2,164.39
  6. Step 6: Final answer
    x = 1,055.29

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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.