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Finding the Fourth Proportional to 2,170.82, 3,256.56 and 709.62

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Solution

The fourth proportional to 2,170.82, 3,256.56 and 709.62 is: 1,064.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.82 : 3,256.56 = 709.62 : x
  2. Step 2: Convert to fraction form
    2,170.82/3,256.56 = 709.62/x
  3. Step 3: Cross multiply
    2,170.82x = 3,256.56 × 709.62
  4. Step 4: Simplify right side
    2,170.82x = 2,310,920.11
  5. Step 5: Solve for x
    x = 2,310,920.11/2,170.82
  6. Step 6: Final answer
    x = 1,064.54

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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.