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Finding the Fourth Proportional to 2,709.85, 4,065.11 and 954.44

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Solution

The fourth proportional to 2,709.85, 4,065.11 and 954.44 is: 1,431.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.85 : 4,065.11 = 954.44 : x
  2. Step 2: Convert to fraction form
    2,709.85/4,065.11 = 954.44/x
  3. Step 3: Cross multiply
    2,709.85x = 4,065.11 × 954.44
  4. Step 4: Simplify right side
    2,709.85x = 3,879,903.59
  5. Step 5: Solve for x
    x = 3,879,903.59/2,709.85
  6. Step 6: Final answer
    x = 1,431.78

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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.