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Finding the Fourth Proportional to 2,993.28, 4,489.86 and 941.28

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Solution

The fourth proportional to 2,993.28, 4,489.86 and 941.28 is: 1,411.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.28 : 4,489.86 = 941.28 : x
  2. Step 2: Convert to fraction form
    2,993.28/4,489.86 = 941.28/x
  3. Step 3: Cross multiply
    2,993.28x = 4,489.86 × 941.28
  4. Step 4: Simplify right side
    2,993.28x = 4,226,215.42
  5. Step 5: Solve for x
    x = 4,226,215.42/2,993.28
  6. Step 6: Final answer
    x = 1,411.90

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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.