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Finding the Fourth Proportional to 3,106.54, 4,654.44 and 2,180.34

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Solution

The fourth proportional to 3,106.54, 4,654.44 and 2,180.34 is: 3,266.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.54 : 4,654.44 = 2,180.34 : x
  2. Step 2: Convert to fraction form
    3,106.54/4,654.44 = 2,180.34/x
  3. Step 3: Cross multiply
    3,106.54x = 4,654.44 × 2,180.34
  4. Step 4: Simplify right side
    3,106.54x = 10,148,261.71
  5. Step 5: Solve for x
    x = 10,148,261.71/3,106.54
  6. Step 6: Final answer
    x = 3,266.74

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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.