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Finding the Fourth Proportional to 1,780.07, 2,456.46 and 994.10

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Solution

The fourth proportional to 1,780.07, 2,456.46 and 994.10 is: 1,371.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.07 : 2,456.46 = 994.10 : x
  2. Step 2: Convert to fraction form
    1,780.07/2,456.46 = 994.10/x
  3. Step 3: Cross multiply
    1,780.07x = 2,456.46 × 994.10
  4. Step 4: Simplify right side
    1,780.07x = 2,441,954.60
  5. Step 5: Solve for x
    x = 2,441,954.60/1,780.07
  6. Step 6: Final answer
    x = 1,371.83

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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.