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Finding the Fourth Proportional to 3,216.28, 4,824.42 and 1,484.68

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Solution

The fourth proportional to 3,216.28, 4,824.42 and 1,484.68 is: 2,227.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216.28 : 4,824.42 = 1,484.68 : x
  2. Step 2: Convert to fraction form
    3,216.28/4,824.42 = 1,484.68/x
  3. Step 3: Cross multiply
    3,216.28x = 4,824.42 × 1,484.68
  4. Step 4: Simplify right side
    3,216.28x = 7,162,719.89
  5. Step 5: Solve for x
    x = 7,162,719.89/3,216.28
  6. Step 6: Final answer
    x = 2,227.02

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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.