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Finding the Fourth Proportional to 3,282.41, 4,530.09 and 2,023.22

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Solution

The fourth proportional to 3,282.41, 4,530.09 and 2,023.22 is: 2,792.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.41 : 4,530.09 = 2,023.22 : x
  2. Step 2: Convert to fraction form
    3,282.41/4,530.09 = 2,023.22/x
  3. Step 3: Cross multiply
    3,282.41x = 4,530.09 × 2,023.22
  4. Step 4: Simplify right side
    3,282.41x = 9,165,368.69
  5. Step 5: Solve for x
    x = 9,165,368.69/3,282.41
  6. Step 6: Final answer
    x = 2,792.27

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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.