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Finding the Fourth Proportional to 1,780.12, 2,456.42 and 994.14

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Solution

The fourth proportional to 1,780.12, 2,456.42 and 994.14 is: 1,371.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.12 : 2,456.42 = 994.14 : x
  2. Step 2: Convert to fraction form
    1,780.12/2,456.42 = 994.14/x
  3. Step 3: Cross multiply
    1,780.12x = 2,456.42 × 994.14
  4. Step 4: Simplify right side
    1,780.12x = 2,442,025.38
  5. Step 5: Solve for x
    x = 2,442,025.38/1,780.12
  6. Step 6: Final answer
    x = 1,371.83

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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.