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Finding the Fourth Proportional to 3,102.46, 4,653.72 and 2,179.45

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Solution

The fourth proportional to 3,102.46, 4,653.72 and 2,179.45 is: 3,269.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.46 : 4,653.72 = 2,179.45 : x
  2. Step 2: Convert to fraction form
    3,102.46/4,653.72 = 2,179.45/x
  3. Step 3: Cross multiply
    3,102.46x = 4,653.72 × 2,179.45
  4. Step 4: Simplify right side
    3,102.46x = 10,142,550.05
  5. Step 5: Solve for x
    x = 10,142,550.05/3,102.46
  6. Step 6: Final answer
    x = 3,269.20

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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.