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Finding the Fourth Proportional to 2,170.16, 3,255.44 and 709.32

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Solution

The fourth proportional to 2,170.16, 3,255.44 and 709.32 is: 1,064.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.16 : 3,255.44 = 709.32 : x
  2. Step 2: Convert to fraction form
    2,170.16/3,255.44 = 709.32/x
  3. Step 3: Cross multiply
    2,170.16x = 3,255.44 × 709.32
  4. Step 4: Simplify right side
    2,170.16x = 2,309,148.70
  5. Step 5: Solve for x
    x = 2,309,148.70/2,170.16
  6. Step 6: Final answer
    x = 1,064.05

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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.