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Finding the Fourth Proportional to 2,170.96, 3,256.86 and 709.72

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Solution

The fourth proportional to 2,170.96, 3,256.86 and 709.72 is: 1,064.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.96 : 3,256.86 = 709.72 : x
  2. Step 2: Convert to fraction form
    2,170.96/3,256.86 = 709.72/x
  3. Step 3: Cross multiply
    2,170.96x = 3,256.86 × 709.72
  4. Step 4: Simplify right side
    2,170.96x = 2,311,458.68
  5. Step 5: Solve for x
    x = 2,311,458.68/2,170.96
  6. Step 6: Final answer
    x = 1,064.72

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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.