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Finding the Fourth Proportional to 2,270.92, 3,405.12 and 710.44

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Solution

The fourth proportional to 2,270.92, 3,405.12 and 710.44 is: 1,065.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.92 : 3,405.12 = 710.44 : x
  2. Step 2: Convert to fraction form
    2,270.92/3,405.12 = 710.44/x
  3. Step 3: Cross multiply
    2,270.92x = 3,405.12 × 710.44
  4. Step 4: Simplify right side
    2,270.92x = 2,419,133.45
  5. Step 5: Solve for x
    x = 2,419,133.45/2,270.92
  6. Step 6: Final answer
    x = 1,065.27

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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.