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Finding the Fourth Proportional to 3,269.17, 4,903.71 and 1,189.09

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Solution

The fourth proportional to 3,269.17, 4,903.71 and 1,189.09 is: 1,783.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.17 : 4,903.71 = 1,189.09 : x
  2. Step 2: Convert to fraction form
    3,269.17/4,903.71 = 1,189.09/x
  3. Step 3: Cross multiply
    3,269.17x = 4,903.71 × 1,189.09
  4. Step 4: Simplify right side
    3,269.17x = 5,830,952.52
  5. Step 5: Solve for x
    x = 5,830,952.52/3,269.17
  6. Step 6: Final answer
    x = 1,783.62

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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.