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Finding the Fourth Proportional to 2,130.97, 3,195.19 and 830.92

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Solution

The fourth proportional to 2,130.97, 3,195.19 and 830.92 is: 1,245.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.97 : 3,195.19 = 830.92 : x
  2. Step 2: Convert to fraction form
    2,130.97/3,195.19 = 830.92/x
  3. Step 3: Cross multiply
    2,130.97x = 3,195.19 × 830.92
  4. Step 4: Simplify right side
    2,130.97x = 2,654,927.14
  5. Step 5: Solve for x
    x = 2,654,927.14/2,130.97
  6. Step 6: Final answer
    x = 1,245.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.