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Finding the Fourth Proportional to 2,666.69, 3,999.93 and 817.71

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Solution

The fourth proportional to 2,666.69, 3,999.93 and 817.71 is: 1,226.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.69 : 3,999.93 = 817.71 : x
  2. Step 2: Convert to fraction form
    2,666.69/3,999.93 = 817.71/x
  3. Step 3: Cross multiply
    2,666.69x = 3,999.93 × 817.71
  4. Step 4: Simplify right side
    2,666.69x = 3,270,779.69
  5. Step 5: Solve for x
    x = 3,270,779.69/2,666.69
  6. Step 6: Final answer
    x = 1,226.53

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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.