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Finding the Fourth Proportional to 2,129.56, 2,938.68 and 1,198

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Solution

The fourth proportional to 2,129.56, 2,938.68 and 1,198 is: 1,653.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.56 : 2,938.68 = 1,198 : x
  2. Step 2: Convert to fraction form
    2,129.56/2,938.68 = 1,198/x
  3. Step 3: Cross multiply
    2,129.56x = 2,938.68 × 1,198
  4. Step 4: Simplify right side
    2,129.56x = 3,520,538.64
  5. Step 5: Solve for x
    x = 3,520,538.64/2,129.56
  6. Step 6: Final answer
    x = 1,653.18

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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.