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Finding the Fourth Proportional to 2,745.20, 4,115.34 and 989.78

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Solution

The fourth proportional to 2,745.20, 4,115.34 and 989.78 is: 1,483.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.20 : 4,115.34 = 989.78 : x
  2. Step 2: Convert to fraction form
    2,745.20/4,115.34 = 989.78/x
  3. Step 3: Cross multiply
    2,745.20x = 4,115.34 × 989.78
  4. Step 4: Simplify right side
    2,745.20x = 4,073,281.23
  5. Step 5: Solve for x
    x = 4,073,281.23/2,745.20
  6. Step 6: Final answer
    x = 1,483.78

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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.