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Finding the Fourth Proportional to 2,113.26, 3,170.46 and 652.44

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Solution

The fourth proportional to 2,113.26, 3,170.46 and 652.44 is: 978.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.26 : 3,170.46 = 652.44 : x
  2. Step 2: Convert to fraction form
    2,113.26/3,170.46 = 652.44/x
  3. Step 3: Cross multiply
    2,113.26x = 3,170.46 × 652.44
  4. Step 4: Simplify right side
    2,113.26x = 2,068,534.92
  5. Step 5: Solve for x
    x = 2,068,534.92/2,113.26
  6. Step 6: Final answer
    x = 978.84

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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.