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Finding the Fourth Proportional to 2,478.45, 3,723.48 and 2,338.34

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Solution

The fourth proportional to 2,478.45, 3,723.48 and 2,338.34 is: 3,512.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.45 : 3,723.48 = 2,338.34 : x
  2. Step 2: Convert to fraction form
    2,478.45/3,723.48 = 2,338.34/x
  3. Step 3: Cross multiply
    2,478.45x = 3,723.48 × 2,338.34
  4. Step 4: Simplify right side
    2,478.45x = 8,706,743.61
  5. Step 5: Solve for x
    x = 8,706,743.61/2,478.45
  6. Step 6: Final answer
    x = 3,512.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.