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Finding the Fourth Proportional to 3,281.64, 4,919.35 and 1,308.49

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Solution

The fourth proportional to 3,281.64, 4,919.35 and 1,308.49 is: 1,961.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.64 : 4,919.35 = 1,308.49 : x
  2. Step 2: Convert to fraction form
    3,281.64/4,919.35 = 1,308.49/x
  3. Step 3: Cross multiply
    3,281.64x = 4,919.35 × 1,308.49
  4. Step 4: Simplify right side
    3,281.64x = 6,436,920.28
  5. Step 5: Solve for x
    x = 6,436,920.28/3,281.64
  6. Step 6: Final answer
    x = 1,961.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.