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Finding the Fourth Proportional to 1,890.30, 2,832.21 and 914.52

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Solution

The fourth proportional to 1,890.30, 2,832.21 and 914.52 is: 1,370.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.30 : 2,832.21 = 914.52 : x
  2. Step 2: Convert to fraction form
    1,890.30/2,832.21 = 914.52/x
  3. Step 3: Cross multiply
    1,890.30x = 2,832.21 × 914.52
  4. Step 4: Simplify right side
    1,890.30x = 2,590,112.69
  5. Step 5: Solve for x
    x = 2,590,112.69/1,890.30
  6. Step 6: Final answer
    x = 1,370.21

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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.