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Finding the Fourth Proportional to 2,982.50, 4,472.30 and 902.10

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Solution

The fourth proportional to 2,982.50, 4,472.30 and 902.10 is: 1,352.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.50 : 4,472.30 = 902.10 : x
  2. Step 2: Convert to fraction form
    2,982.50/4,472.30 = 902.10/x
  3. Step 3: Cross multiply
    2,982.50x = 4,472.30 × 902.10
  4. Step 4: Simplify right side
    2,982.50x = 4,034,461.83
  5. Step 5: Solve for x
    x = 4,034,461.83/2,982.50
  6. Step 6: Final answer
    x = 1,352.71

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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.