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Finding the Fourth Proportional to 3,222.62, 4,833.95 and 970.85

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Solution

The fourth proportional to 3,222.62, 4,833.95 and 970.85 is: 1,456.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.62 : 4,833.95 = 970.85 : x
  2. Step 2: Convert to fraction form
    3,222.62/4,833.95 = 970.85/x
  3. Step 3: Cross multiply
    3,222.62x = 4,833.95 × 970.85
  4. Step 4: Simplify right side
    3,222.62x = 4,693,047.59
  5. Step 5: Solve for x
    x = 4,693,047.59/3,222.62
  6. Step 6: Final answer
    x = 1,456.28

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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.