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Finding the Fourth Proportional to 3,266.69, 4,509.95 and 2,149.56

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Solution

The fourth proportional to 3,266.69, 4,509.95 and 2,149.56 is: 2,967.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.69 : 4,509.95 = 2,149.56 : x
  2. Step 2: Convert to fraction form
    3,266.69/4,509.95 = 2,149.56/x
  3. Step 3: Cross multiply
    3,266.69x = 4,509.95 × 2,149.56
  4. Step 4: Simplify right side
    3,266.69x = 9,694,397.37
  5. Step 5: Solve for x
    x = 9,694,397.37/3,266.69
  6. Step 6: Final answer
    x = 2,967.66

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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.