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Finding the Fourth Proportional to 3,282.89, 4,926.64 and 2,969.19

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Solution

The fourth proportional to 3,282.89, 4,926.64 and 2,969.19 is: 4,455.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.89 : 4,926.64 = 2,969.19 : x
  2. Step 2: Convert to fraction form
    3,282.89/4,926.64 = 2,969.19/x
  3. Step 3: Cross multiply
    3,282.89x = 4,926.64 × 2,969.19
  4. Step 4: Simplify right side
    3,282.89x = 14,628,130.22
  5. Step 5: Solve for x
    x = 14,628,130.22/3,282.89
  6. Step 6: Final answer
    x = 4,455.87

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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.