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Finding the Fourth Proportional to 2,954.92, 4,433.14 and 1,106.17

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Solution

The fourth proportional to 2,954.92, 4,433.14 and 1,106.17 is: 1,659.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.92 : 4,433.14 = 1,106.17 : x
  2. Step 2: Convert to fraction form
    2,954.92/4,433.14 = 1,106.17/x
  3. Step 3: Cross multiply
    2,954.92x = 4,433.14 × 1,106.17
  4. Step 4: Simplify right side
    2,954.92x = 4,903,804.56
  5. Step 5: Solve for x
    x = 4,903,804.56/2,954.92
  6. Step 6: Final answer
    x = 1,659.54

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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.