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Finding the Fourth Proportional to 2,129.59, 2,938.94 and 1,198.09

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Solution

The fourth proportional to 2,129.59, 2,938.94 and 1,198.09 is: 1,653.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.59 : 2,938.94 = 1,198.09 : x
  2. Step 2: Convert to fraction form
    2,129.59/2,938.94 = 1,198.09/x
  3. Step 3: Cross multiply
    2,129.59x = 2,938.94 × 1,198.09
  4. Step 4: Simplify right side
    2,129.59x = 3,521,114.62
  5. Step 5: Solve for x
    x = 3,521,114.62/2,129.59
  6. Step 6: Final answer
    x = 1,653.42

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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.