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Finding the Fourth Proportional to 3,208.64, 4,428.41 and 1,949.90

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Solution

The fourth proportional to 3,208.64, 4,428.41 and 1,949.90 is: 2,691.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.64 : 4,428.41 = 1,949.90 : x
  2. Step 2: Convert to fraction form
    3,208.64/4,428.41 = 1,949.90/x
  3. Step 3: Cross multiply
    3,208.64x = 4,428.41 × 1,949.90
  4. Step 4: Simplify right side
    3,208.64x = 8,634,924.77
  5. Step 5: Solve for x
    x = 8,634,924.77/3,208.64
  6. Step 6: Final answer
    x = 2,691.15

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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.