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Finding the Fourth Proportional to 2,954.56, 4,433.06 and 1,494.14

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Solution

The fourth proportional to 2,954.56, 4,433.06 and 1,494.14 is: 2,241.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.56 : 4,433.06 = 1,494.14 : x
  2. Step 2: Convert to fraction form
    2,954.56/4,433.06 = 1,494.14/x
  3. Step 3: Cross multiply
    2,954.56x = 4,433.06 × 1,494.14
  4. Step 4: Simplify right side
    2,954.56x = 6,623,612.27
  5. Step 5: Solve for x
    x = 6,623,612.27/2,954.56
  6. Step 6: Final answer
    x = 2,241.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.