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Finding the Fourth Proportional to 2,993.76, 4,491.36 and 941.76

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Solution

The fourth proportional to 2,993.76, 4,491.36 and 941.76 is: 1,412.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.76 : 4,491.36 = 941.76 : x
  2. Step 2: Convert to fraction form
    2,993.76/4,491.36 = 941.76/x
  3. Step 3: Cross multiply
    2,993.76x = 4,491.36 × 941.76
  4. Step 4: Simplify right side
    2,993.76x = 4,229,783.19
  5. Step 5: Solve for x
    x = 4,229,783.19/2,993.76
  6. Step 6: Final answer
    x = 1,412.87

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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.