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Finding the Fourth Proportional to 1,471.92, 2,031.23 and 882.47

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Solution

The fourth proportional to 1,471.92, 2,031.23 and 882.47 is: 1,217.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.92 : 2,031.23 = 882.47 : x
  2. Step 2: Convert to fraction form
    1,471.92/2,031.23 = 882.47/x
  3. Step 3: Cross multiply
    1,471.92x = 2,031.23 × 882.47
  4. Step 4: Simplify right side
    1,471.92x = 1,792,484.97
  5. Step 5: Solve for x
    x = 1,792,484.97/1,471.92
  6. Step 6: Final answer
    x = 1,217.79

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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.