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Finding the Fourth Proportional to 3,243, 4,476.04 and 2,063.82

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Solution

The fourth proportional to 3,243, 4,476.04 and 2,063.82 is: 2,848.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243 : 4,476.04 = 2,063.82 : x
  2. Step 2: Convert to fraction form
    3,243/4,476.04 = 2,063.82/x
  3. Step 3: Cross multiply
    3,243x = 4,476.04 × 2,063.82
  4. Step 4: Simplify right side
    3,243x = 9,237,740.87
  5. Step 5: Solve for x
    x = 9,237,740.87/3,243
  6. Step 6: Final answer
    x = 2,848.52

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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.