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Finding the Fourth Proportional to 2,665.26, 3,674.79 and 2,191.50

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Solution

The fourth proportional to 2,665.26, 3,674.79 and 2,191.50 is: 3,021.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.26 : 3,674.79 = 2,191.50 : x
  2. Step 2: Convert to fraction form
    2,665.26/3,674.79 = 2,191.50/x
  3. Step 3: Cross multiply
    2,665.26x = 3,674.79 × 2,191.50
  4. Step 4: Simplify right side
    2,665.26x = 8,053,302.29
  5. Step 5: Solve for x
    x = 8,053,302.29/2,665.26
  6. Step 6: Final answer
    x = 3,021.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.