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Finding the Fourth Proportional to 1,902.36, 2,847.30 and 1,639.92

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Solution

The fourth proportional to 1,902.36, 2,847.30 and 1,639.92 is: 2,454.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.36 : 2,847.30 = 1,639.92 : x
  2. Step 2: Convert to fraction form
    1,902.36/2,847.30 = 1,639.92/x
  3. Step 3: Cross multiply
    1,902.36x = 2,847.30 × 1,639.92
  4. Step 4: Simplify right side
    1,902.36x = 4,669,344.22
  5. Step 5: Solve for x
    x = 4,669,344.22/1,902.36
  6. Step 6: Final answer
    x = 2,454.50

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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.