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Finding the Fourth Proportional to 1,890.10, 2,832.36 and 914.14

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Solution

The fourth proportional to 1,890.10, 2,832.36 and 914.14 is: 1,369.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.10 : 2,832.36 = 914.14 : x
  2. Step 2: Convert to fraction form
    1,890.10/2,832.36 = 914.14/x
  3. Step 3: Cross multiply
    1,890.10x = 2,832.36 × 914.14
  4. Step 4: Simplify right side
    1,890.10x = 2,589,173.57
  5. Step 5: Solve for x
    x = 2,589,173.57/1,890.10
  6. Step 6: Final answer
    x = 1,369.86

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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.