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Finding the Fourth Proportional to 3,199.67, 4,414.52 and 1,802.15

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Solution

The fourth proportional to 3,199.67, 4,414.52 and 1,802.15 is: 2,486.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.67 : 4,414.52 = 1,802.15 : x
  2. Step 2: Convert to fraction form
    3,199.67/4,414.52 = 1,802.15/x
  3. Step 3: Cross multiply
    3,199.67x = 4,414.52 × 1,802.15
  4. Step 4: Simplify right side
    3,199.67x = 7,955,609.65
  5. Step 5: Solve for x
    x = 7,955,609.65/3,199.67
  6. Step 6: Final answer
    x = 2,486.39

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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.