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Finding the Fourth Proportional to 1,472, 2,031.54 and 851

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Solution

The fourth proportional to 1,472, 2,031.54 and 851 is: 1,174.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472 : 2,031.54 = 851 : x
  2. Step 2: Convert to fraction form
    1,472/2,031.54 = 851/x
  3. Step 3: Cross multiply
    1,472x = 2,031.54 × 851
  4. Step 4: Simplify right side
    1,472x = 1,728,840.54
  5. Step 5: Solve for x
    x = 1,728,840.54/1,472
  6. Step 6: Final answer
    x = 1,174.48

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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.