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Finding the Fourth Proportional to 3,026.75, 4,540.14 and 946.73

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Solution

The fourth proportional to 3,026.75, 4,540.14 and 946.73 is: 1,420.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.75 : 4,540.14 = 946.73 : x
  2. Step 2: Convert to fraction form
    3,026.75/4,540.14 = 946.73/x
  3. Step 3: Cross multiply
    3,026.75x = 4,540.14 × 946.73
  4. Step 4: Simplify right side
    3,026.75x = 4,298,286.74
  5. Step 5: Solve for x
    x = 4,298,286.74/3,026.75
  6. Step 6: Final answer
    x = 1,420.10

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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.