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Finding the Fourth Proportional to 3,283.68, 4,926 and 1,091.88

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Solution

The fourth proportional to 3,283.68, 4,926 and 1,091.88 is: 1,637.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.68 : 4,926 = 1,091.88 : x
  2. Step 2: Convert to fraction form
    3,283.68/4,926 = 1,091.88/x
  3. Step 3: Cross multiply
    3,283.68x = 4,926 × 1,091.88
  4. Step 4: Simplify right side
    3,283.68x = 5,378,600.88
  5. Step 5: Solve for x
    x = 5,378,600.88/3,283.68
  6. Step 6: Final answer
    x = 1,637.98

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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.