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Finding the Fourth Proportional to 3,269.70, 4,511.82 and 1,853.28

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Solution

The fourth proportional to 3,269.70, 4,511.82 and 1,853.28 is: 2,557.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.70 : 4,511.82 = 1,853.28 : x
  2. Step 2: Convert to fraction form
    3,269.70/4,511.82 = 1,853.28/x
  3. Step 3: Cross multiply
    3,269.70x = 4,511.82 × 1,853.28
  4. Step 4: Simplify right side
    3,269.70x = 8,361,665.77
  5. Step 5: Solve for x
    x = 8,361,665.77/3,269.70
  6. Step 6: Final answer
    x = 2,557.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.