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Finding the Fourth Proportional to 2,982.56, 4,462.90 and 2,516.00

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Solution

The fourth proportional to 2,982.56, 4,462.90 and 2,516.00 is: 3,764.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.56 : 4,462.90 = 2,516.00 : x
  2. Step 2: Convert to fraction form
    2,982.56/4,462.90 = 2,516.00/x
  3. Step 3: Cross multiply
    2,982.56x = 4,462.90 × 2,516.00
  4. Step 4: Simplify right side
    2,982.56x = 11,228,627.80
  5. Step 5: Solve for x
    x = 11,228,627.80/2,982.56
  6. Step 6: Final answer
    x = 3,764.77

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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.