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Finding the Fourth Proportional to 3,162.33, 4,743.36 and 970.97

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Solution

The fourth proportional to 3,162.33, 4,743.36 and 970.97 is: 1,456.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.33 : 4,743.36 = 970.97 : x
  2. Step 2: Convert to fraction form
    3,162.33/4,743.36 = 970.97/x
  3. Step 3: Cross multiply
    3,162.33x = 4,743.36 × 970.97
  4. Step 4: Simplify right side
    3,162.33x = 4,605,636.54
  5. Step 5: Solve for x
    x = 4,605,636.54/3,162.33
  6. Step 6: Final answer
    x = 1,456.41

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1.5x scale

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.