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Finding the Fourth Proportional to 3,299, 4,552.62 and 1,827

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Solution

The fourth proportional to 3,299, 4,552.62 and 1,827 is: 2,521.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299 : 4,552.62 = 1,827 : x
  2. Step 2: Convert to fraction form
    3,299/4,552.62 = 1,827/x
  3. Step 3: Cross multiply
    3,299x = 4,552.62 × 1,827
  4. Step 4: Simplify right side
    3,299x = 8,317,636.74
  5. Step 5: Solve for x
    x = 8,317,636.74/3,299
  6. Step 6: Final answer
    x = 2,521.26

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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.