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Finding the Fourth Proportional to 3,282.60, 4,923.90 and 1,639.40

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Solution

The fourth proportional to 3,282.60, 4,923.90 and 1,639.40 is: 2,459.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.60 : 4,923.90 = 1,639.40 : x
  2. Step 2: Convert to fraction form
    3,282.60/4,923.90 = 1,639.40/x
  3. Step 3: Cross multiply
    3,282.60x = 4,923.90 × 1,639.40
  4. Step 4: Simplify right side
    3,282.60x = 8,072,241.66
  5. Step 5: Solve for x
    x = 8,072,241.66/3,282.60
  6. Step 6: Final answer
    x = 2,459.10

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Why These Related Problems?

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