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Finding the Fourth Proportional to 3,049.68, 4,208.56 and 1,652.43

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Solution

The fourth proportional to 3,049.68, 4,208.56 and 1,652.43 is: 2,280.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.68 : 4,208.56 = 1,652.43 : x
  2. Step 2: Convert to fraction form
    3,049.68/4,208.56 = 1,652.43/x
  3. Step 3: Cross multiply
    3,049.68x = 4,208.56 × 1,652.43
  4. Step 4: Simplify right side
    3,049.68x = 6,954,350.80
  5. Step 5: Solve for x
    x = 6,954,350.80/3,049.68
  6. Step 6: Final answer
    x = 2,280.35

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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.