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Finding the Fourth Proportional to 3,342.47, 4,609.46 and 2,493.60

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Solution

The fourth proportional to 3,342.47, 4,609.46 and 2,493.60 is: 3,438.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342.47 : 4,609.46 = 2,493.60 : x
  2. Step 2: Convert to fraction form
    3,342.47/4,609.46 = 2,493.60/x
  3. Step 3: Cross multiply
    3,342.47x = 4,609.46 × 2,493.60
  4. Step 4: Simplify right side
    3,342.47x = 11,494,113.94
  5. Step 5: Solve for x
    x = 11,494,113.94/3,342.47
  6. Step 6: Final answer
    x = 3,438.81

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