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Finding the Fourth Proportional to 1,790.92, 2,472.06 and 1,201.24

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Solution

The fourth proportional to 1,790.92, 2,472.06 and 1,201.24 is: 1,658.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.92 : 2,472.06 = 1,201.24 : x
  2. Step 2: Convert to fraction form
    1,790.92/2,472.06 = 1,201.24/x
  3. Step 3: Cross multiply
    1,790.92x = 2,472.06 × 1,201.24
  4. Step 4: Simplify right side
    1,790.92x = 2,969,537.35
  5. Step 5: Solve for x
    x = 2,969,537.35/1,790.92
  6. Step 6: Final answer
    x = 1,658.11

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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.