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Finding the Fourth Proportional to 2,184.52, 3,014.63 and 1,189.73

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Solution

The fourth proportional to 2,184.52, 3,014.63 and 1,189.73 is: 1,641.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.52 : 3,014.63 = 1,189.73 : x
  2. Step 2: Convert to fraction form
    2,184.52/3,014.63 = 1,189.73/x
  3. Step 3: Cross multiply
    2,184.52x = 3,014.63 × 1,189.73
  4. Step 4: Simplify right side
    2,184.52x = 3,586,606.26
  5. Step 5: Solve for x
    x = 3,586,606.26/2,184.52
  6. Step 6: Final answer
    x = 1,641.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.