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Finding the Fourth Proportional to 2,573.92, 3,554.53 and 2,198.71

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Solution

The fourth proportional to 2,573.92, 3,554.53 and 2,198.71 is: 3,036.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.92 : 3,554.53 = 2,198.71 : x
  2. Step 2: Convert to fraction form
    2,573.92/3,554.53 = 2,198.71/x
  3. Step 3: Cross multiply
    2,573.92x = 3,554.53 × 2,198.71
  4. Step 4: Simplify right side
    2,573.92x = 7,815,393.14
  5. Step 5: Solve for x
    x = 7,815,393.14/2,573.92
  6. Step 6: Final answer
    x = 3,036.38

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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.