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Finding the Fourth Proportional to 2,666.71, 3,999.92 and 817.82

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Solution

The fourth proportional to 2,666.71, 3,999.92 and 817.82 is: 1,226.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.71 : 3,999.92 = 817.82 : x
  2. Step 2: Convert to fraction form
    2,666.71/3,999.92 = 817.82/x
  3. Step 3: Cross multiply
    2,666.71x = 3,999.92 × 817.82
  4. Step 4: Simplify right side
    2,666.71x = 3,271,214.26
  5. Step 5: Solve for x
    x = 3,271,214.26/2,666.71
  6. Step 6: Final answer
    x = 1,226.68

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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.