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Finding the Fourth Proportional to 4,982.70, 7,472.16 and 1,694.82

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Solution

The fourth proportional to 4,982.70, 7,472.16 and 1,694.82 is: 2,541.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,982.70 : 7,472.16 = 1,694.82 : x
  2. Step 2: Convert to fraction form
    4,982.70/7,472.16 = 1,694.82/x
  3. Step 3: Cross multiply
    4,982.70x = 7,472.16 × 1,694.82
  4. Step 4: Simplify right side
    4,982.70x = 12,663,966.21
  5. Step 5: Solve for x
    x = 12,663,966.21/4,982.70
  6. Step 6: Final answer
    x = 2,541.59

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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.