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Finding the Fourth Proportional to 1,889.58, 2,834.37 and 735.33

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Solution

The fourth proportional to 1,889.58, 2,834.37 and 735.33 is: 1,102.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.58 : 2,834.37 = 735.33 : x
  2. Step 2: Convert to fraction form
    1,889.58/2,834.37 = 735.33/x
  3. Step 3: Cross multiply
    1,889.58x = 2,834.37 × 735.33
  4. Step 4: Simplify right side
    1,889.58x = 2,084,189.91
  5. Step 5: Solve for x
    x = 2,084,189.91/1,889.58
  6. Step 6: Final answer
    x = 1,102.99

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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.