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Finding the Fourth Proportional to 2,706.20, 3,734.89 and 1,712.49

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Solution

The fourth proportional to 2,706.20, 3,734.89 and 1,712.49 is: 2,363.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.20 : 3,734.89 = 1,712.49 : x
  2. Step 2: Convert to fraction form
    2,706.20/3,734.89 = 1,712.49/x
  3. Step 3: Cross multiply
    2,706.20x = 3,734.89 × 1,712.49
  4. Step 4: Simplify right side
    2,706.20x = 6,395,957.49
  5. Step 5: Solve for x
    x = 6,395,957.49/2,706.20
  6. Step 6: Final answer
    x = 2,363.44

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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.