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Finding the Fourth Proportional to 2,472.72, 3,706.20 and 2,011.33

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Solution

The fourth proportional to 2,472.72, 3,706.20 and 2,011.33 is: 3,014.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.72 : 3,706.20 = 2,011.33 : x
  2. Step 2: Convert to fraction form
    2,472.72/3,706.20 = 2,011.33/x
  3. Step 3: Cross multiply
    2,472.72x = 3,706.20 × 2,011.33
  4. Step 4: Simplify right side
    2,472.72x = 7,454,362.66
  5. Step 5: Solve for x
    x = 7,454,362.66/2,472.72
  6. Step 6: Final answer
    x = 3,014.64

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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.