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Finding the Fourth Proportional to 3,284.30, 4,926.78 and 1,093.16

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Solution

The fourth proportional to 3,284.30, 4,926.78 and 1,093.16 is: 1,639.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.30 : 4,926.78 = 1,093.16 : x
  2. Step 2: Convert to fraction form
    3,284.30/4,926.78 = 1,093.16/x
  3. Step 3: Cross multiply
    3,284.30x = 4,926.78 × 1,093.16
  4. Step 4: Simplify right side
    3,284.30x = 5,385,734.19
  5. Step 5: Solve for x
    x = 5,385,734.19/3,284.30
  6. Step 6: Final answer
    x = 1,639.84

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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.