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Finding the Fourth Proportional to 3,289.67, 4,537.18 and 1,963.10

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Solution

The fourth proportional to 3,289.67, 4,537.18 and 1,963.10 is: 2,707.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.67 : 4,537.18 = 1,963.10 : x
  2. Step 2: Convert to fraction form
    3,289.67/4,537.18 = 1,963.10/x
  3. Step 3: Cross multiply
    3,289.67x = 4,537.18 × 1,963.10
  4. Step 4: Simplify right side
    3,289.67x = 8,906,938.06
  5. Step 5: Solve for x
    x = 8,906,938.06/3,289.67
  6. Step 6: Final answer
    x = 2,707.55

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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.