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Finding the Fourth Proportional to 2,981.35, 4,472.03 and 1,033.55

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Solution

The fourth proportional to 2,981.35, 4,472.03 and 1,033.55 is: 1,550.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.35 : 4,472.03 = 1,033.55 : x
  2. Step 2: Convert to fraction form
    2,981.35/4,472.03 = 1,033.55/x
  3. Step 3: Cross multiply
    2,981.35x = 4,472.03 × 1,033.55
  4. Step 4: Simplify right side
    2,981.35x = 4,622,072.62
  5. Step 5: Solve for x
    x = 4,622,072.62/2,981.35
  6. Step 6: Final answer
    x = 1,550.33

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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.