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Finding the Fourth Proportional to 2,165.94, 3,244.05 and 1,189.89

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Solution

The fourth proportional to 2,165.94, 3,244.05 and 1,189.89 is: 1,782.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.94 : 3,244.05 = 1,189.89 : x
  2. Step 2: Convert to fraction form
    2,165.94/3,244.05 = 1,189.89/x
  3. Step 3: Cross multiply
    2,165.94x = 3,244.05 × 1,189.89
  4. Step 4: Simplify right side
    2,165.94x = 3,860,062.65
  5. Step 5: Solve for x
    x = 3,860,062.65/2,165.94
  6. Step 6: Final answer
    x = 1,782.17

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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.