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Finding the Fourth Proportional to 2,467.92, 3,420.46 and 2,421.84

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Solution

The fourth proportional to 2,467.92, 3,420.46 and 2,421.84 is: 3,356.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.92 : 3,420.46 = 2,421.84 : x
  2. Step 2: Convert to fraction form
    2,467.92/3,420.46 = 2,421.84/x
  3. Step 3: Cross multiply
    2,467.92x = 3,420.46 × 2,421.84
  4. Step 4: Simplify right side
    2,467.92x = 8,283,806.85
  5. Step 5: Solve for x
    x = 8,283,806.85/2,467.92
  6. Step 6: Final answer
    x = 3,356.59

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.