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Finding the Fourth Proportional to 1,780.25, 2,456.78 and 994.23

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Solution

The fourth proportional to 1,780.25, 2,456.78 and 994.23 is: 1,372.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.25 : 2,456.78 = 994.23 : x
  2. Step 2: Convert to fraction form
    1,780.25/2,456.78 = 994.23/x
  3. Step 3: Cross multiply
    1,780.25x = 2,456.78 × 994.23
  4. Step 4: Simplify right side
    1,780.25x = 2,442,599.41
  5. Step 5: Solve for x
    x = 2,442,599.41/1,780.25
  6. Step 6: Final answer
    x = 1,372.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.