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Finding the Fourth Proportional to 2,478.41, 3,418.24 and 2,106.62

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Solution

The fourth proportional to 2,478.41, 3,418.24 and 2,106.62 is: 2,905.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.41 : 3,418.24 = 2,106.62 : x
  2. Step 2: Convert to fraction form
    2,478.41/3,418.24 = 2,106.62/x
  3. Step 3: Cross multiply
    2,478.41x = 3,418.24 × 2,106.62
  4. Step 4: Simplify right side
    2,478.41x = 7,200,922.22
  5. Step 5: Solve for x
    x = 7,200,922.22/2,478.41
  6. Step 6: Final answer
    x = 2,905.46

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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.