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Finding the Fourth Proportional to 2,666.28, 3,999.86 and 817.21

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Solution

The fourth proportional to 2,666.28, 3,999.86 and 817.21 is: 1,225.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.28 : 3,999.86 = 817.21 : x
  2. Step 2: Convert to fraction form
    2,666.28/3,999.86 = 817.21/x
  3. Step 3: Cross multiply
    2,666.28x = 3,999.86 × 817.21
  4. Step 4: Simplify right side
    2,666.28x = 3,268,725.59
  5. Step 5: Solve for x
    x = 3,268,725.59/2,666.28
  6. Step 6: Final answer
    x = 1,225.95

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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.