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Finding the Fourth Proportional to 2,591.96, 3,888.24 and 949.28

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Solution

The fourth proportional to 2,591.96, 3,888.24 and 949.28 is: 1,424.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.96 : 3,888.24 = 949.28 : x
  2. Step 2: Convert to fraction form
    2,591.96/3,888.24 = 949.28/x
  3. Step 3: Cross multiply
    2,591.96x = 3,888.24 × 949.28
  4. Step 4: Simplify right side
    2,591.96x = 3,691,028.47
  5. Step 5: Solve for x
    x = 3,691,028.47/2,591.96
  6. Step 6: Final answer
    x = 1,424.03

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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.