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Finding the Fourth Proportional to 3,048.82, 4,572.26 and 1,100.76

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Solution

The fourth proportional to 3,048.82, 4,572.26 and 1,100.76 is: 1,650.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.82 : 4,572.26 = 1,100.76 : x
  2. Step 2: Convert to fraction form
    3,048.82/4,572.26 = 1,100.76/x
  3. Step 3: Cross multiply
    3,048.82x = 4,572.26 × 1,100.76
  4. Step 4: Simplify right side
    3,048.82x = 5,032,960.92
  5. Step 5: Solve for x
    x = 5,032,960.92/3,048.82
  6. Step 6: Final answer
    x = 1,650.79

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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.