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Finding the Fourth Proportional to 3,224.94, 4,834.98 and 1,276.62

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Solution

The fourth proportional to 3,224.94, 4,834.98 and 1,276.62 is: 1,913.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.94 : 4,834.98 = 1,276.62 : x
  2. Step 2: Convert to fraction form
    3,224.94/4,834.98 = 1,276.62/x
  3. Step 3: Cross multiply
    3,224.94x = 4,834.98 × 1,276.62
  4. Step 4: Simplify right side
    3,224.94x = 6,172,432.17
  5. Step 5: Solve for x
    x = 6,172,432.17/3,224.94
  6. Step 6: Final answer
    x = 1,913.97

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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.