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Finding the Fourth Proportional to 3,228.84, 4,455.89 and 1,969.61

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Solution

The fourth proportional to 3,228.84, 4,455.89 and 1,969.61 is: 2,718.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.84 : 4,455.89 = 1,969.61 : x
  2. Step 2: Convert to fraction form
    3,228.84/4,455.89 = 1,969.61/x
  3. Step 3: Cross multiply
    3,228.84x = 4,455.89 × 1,969.61
  4. Step 4: Simplify right side
    3,228.84x = 8,776,365.50
  5. Step 5: Solve for x
    x = 8,776,365.50/3,228.84
  6. Step 6: Final answer
    x = 2,718.12

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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.