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Finding the Fourth Proportional to 4,800.40, 7,201.96 and 1,880.75

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Solution

The fourth proportional to 4,800.40, 7,201.96 and 1,880.75 is: 2,821.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800.40 : 7,201.96 = 1,880.75 : x
  2. Step 2: Convert to fraction form
    4,800.40/7,201.96 = 1,880.75/x
  3. Step 3: Cross multiply
    4,800.40x = 7,201.96 × 1,880.75
  4. Step 4: Simplify right side
    4,800.40x = 13,545,099.57
  5. Step 5: Solve for x
    x = 13,545,099.57/4,800.40
  6. Step 6: Final answer
    x = 2,821.66

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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.