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Finding the Fourth Proportional to 1,780.25, 2,456.74 and 994.29

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Solution

The fourth proportional to 1,780.25, 2,456.74 and 994.29 is: 1,372.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.25 : 2,456.74 = 994.29 : x
  2. Step 2: Convert to fraction form
    1,780.25/2,456.74 = 994.29/x
  3. Step 3: Cross multiply
    1,780.25x = 2,456.74 × 994.29
  4. Step 4: Simplify right side
    1,780.25x = 2,442,712.27
  5. Step 5: Solve for x
    x = 2,442,712.27/1,780.25
  6. Step 6: Final answer
    x = 1,372.12

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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.