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Finding the Fourth Proportional to 3,200.50, 4,800.93 and 892.18

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Solution

The fourth proportional to 3,200.50, 4,800.93 and 892.18 is: 1,338.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.50 : 4,800.93 = 892.18 : x
  2. Step 2: Convert to fraction form
    3,200.50/4,800.93 = 892.18/x
  3. Step 3: Cross multiply
    3,200.50x = 4,800.93 × 892.18
  4. Step 4: Simplify right side
    3,200.50x = 4,283,293.73
  5. Step 5: Solve for x
    x = 4,283,293.73/3,200.50
  6. Step 6: Final answer
    x = 1,338.32

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1.5x scale

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.