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Finding the Fourth Proportional to 2,954.78, 4,433.88 and 1,107.19

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Solution

The fourth proportional to 2,954.78, 4,433.88 and 1,107.19 is: 1,661.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.78 : 4,433.88 = 1,107.19 : x
  2. Step 2: Convert to fraction form
    2,954.78/4,433.88 = 1,107.19/x
  3. Step 3: Cross multiply
    2,954.78x = 4,433.88 × 1,107.19
  4. Step 4: Simplify right side
    2,954.78x = 4,909,125.43
  5. Step 5: Solve for x
    x = 4,909,125.43/2,954.78
  6. Step 6: Final answer
    x = 1,661.42

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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.