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Finding the Fourth Proportional to 3,213.20, 4,819.58 and 904.70

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Solution

The fourth proportional to 3,213.20, 4,819.58 and 904.70 is: 1,356.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.20 : 4,819.58 = 904.70 : x
  2. Step 2: Convert to fraction form
    3,213.20/4,819.58 = 904.70/x
  3. Step 3: Cross multiply
    3,213.20x = 4,819.58 × 904.70
  4. Step 4: Simplify right side
    3,213.20x = 4,360,274.03
  5. Step 5: Solve for x
    x = 4,360,274.03/3,213.20
  6. Step 6: Final answer
    x = 1,356.99

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