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Finding the Fourth Proportional to 3,102.96, 4,654.47 and 2,179.95

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Solution

The fourth proportional to 3,102.96, 4,654.47 and 2,179.95 is: 3,269.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.96 : 4,654.47 = 2,179.95 : x
  2. Step 2: Convert to fraction form
    3,102.96/4,654.47 = 2,179.95/x
  3. Step 3: Cross multiply
    3,102.96x = 4,654.47 × 2,179.95
  4. Step 4: Simplify right side
    3,102.96x = 10,146,511.88
  5. Step 5: Solve for x
    x = 10,146,511.88/3,102.96
  6. Step 6: Final answer
    x = 3,269.95

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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.