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Finding the Fourth Proportional to 2,472.67, 3,412.97 and 1,478.62

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Solution

The fourth proportional to 2,472.67, 3,412.97 and 1,478.62 is: 2,040.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.67 : 3,412.97 = 1,478.62 : x
  2. Step 2: Convert to fraction form
    2,472.67/3,412.97 = 1,478.62/x
  3. Step 3: Cross multiply
    2,472.67x = 3,412.97 × 1,478.62
  4. Step 4: Simplify right side
    2,472.67x = 5,046,485.70
  5. Step 5: Solve for x
    x = 5,046,485.70/2,472.67
  6. Step 6: Final answer
    x = 2,040.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.