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Finding the Fourth Proportional to 3,269.68, 4,905 and 1,189.84

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Solution

The fourth proportional to 3,269.68, 4,905 and 1,189.84 is: 1,784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.68 : 4,905 = 1,189.84 : x
  2. Step 2: Convert to fraction form
    3,269.68/4,905 = 1,189.84/x
  3. Step 3: Cross multiply
    3,269.68x = 4,905 × 1,189.84
  4. Step 4: Simplify right side
    3,269.68x = 5,836,165.20
  5. Step 5: Solve for x
    x = 5,836,165.20/3,269.68
  6. Step 6: Final answer
    x = 1,784.93

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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.