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Finding the Fourth Proportional to 3,295.48, 4,549 and 1,968.70

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Solution

The fourth proportional to 3,295.48, 4,549 and 1,968.70 is: 2,717.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.48 : 4,549 = 1,968.70 : x
  2. Step 2: Convert to fraction form
    3,295.48/4,549 = 1,968.70/x
  3. Step 3: Cross multiply
    3,295.48x = 4,549 × 1,968.70
  4. Step 4: Simplify right side
    3,295.48x = 8,955,616.30
  5. Step 5: Solve for x
    x = 8,955,616.30/3,295.48
  6. Step 6: Final answer
    x = 2,717.55

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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.