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Finding the Fourth Proportional to 2,666.47, 4,001.07 and 2,021.17

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Solution

The fourth proportional to 2,666.47, 4,001.07 and 2,021.17 is: 3,032.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.47 : 4,001.07 = 2,021.17 : x
  2. Step 2: Convert to fraction form
    2,666.47/4,001.07 = 2,021.17/x
  3. Step 3: Cross multiply
    2,666.47x = 4,001.07 × 2,021.17
  4. Step 4: Simplify right side
    2,666.47x = 8,086,842.65
  5. Step 5: Solve for x
    x = 8,086,842.65/2,666.47
  6. Step 6: Final answer
    x = 3,032.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.