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Finding the Fourth Proportional to 2,481.76, 3,424.80 and 1,362.67

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Solution

The fourth proportional to 2,481.76, 3,424.80 and 1,362.67 is: 1,880.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481.76 : 3,424.80 = 1,362.67 : x
  2. Step 2: Convert to fraction form
    2,481.76/3,424.80 = 1,362.67/x
  3. Step 3: Cross multiply
    2,481.76x = 3,424.80 × 1,362.67
  4. Step 4: Simplify right side
    2,481.76x = 4,666,855.09
  5. Step 5: Solve for x
    x = 4,666,855.09/2,481.76
  6. Step 6: Final answer
    x = 1,880.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.