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Finding the Fourth Proportional to 4,819.60, 7,229.60 and 1,532.60

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Solution

The fourth proportional to 4,819.60, 7,229.60 and 1,532.60 is: 2,298.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,819.60 : 7,229.60 = 1,532.60 : x
  2. Step 2: Convert to fraction form
    4,819.60/7,229.60 = 1,532.60/x
  3. Step 3: Cross multiply
    4,819.60x = 7,229.60 × 1,532.60
  4. Step 4: Simplify right side
    4,819.60x = 11,080,084.96
  5. Step 5: Solve for x
    x = 11,080,084.96/4,819.60
  6. Step 6: Final answer
    x = 2,298.96

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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.