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Finding the Fourth Proportional to 3,214.92, 4,824.19 and 1,483.55

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Solution

The fourth proportional to 3,214.92, 4,824.19 and 1,483.55 is: 2,226.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.92 : 4,824.19 = 1,483.55 : x
  2. Step 2: Convert to fraction form
    3,214.92/4,824.19 = 1,483.55/x
  3. Step 3: Cross multiply
    3,214.92x = 4,824.19 × 1,483.55
  4. Step 4: Simplify right side
    3,214.92x = 7,156,902.95
  5. Step 5: Solve for x
    x = 7,156,902.95/3,214.92
  6. Step 6: Final answer
    x = 2,226.15

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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.