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Finding the Fourth Proportional to 2,010.35, 3,013.19 and 1,189.32

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Solution

The fourth proportional to 2,010.35, 3,013.19 and 1,189.32 is: 1,782.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.35 : 3,013.19 = 1,189.32 : x
  2. Step 2: Convert to fraction form
    2,010.35/3,013.19 = 1,189.32/x
  3. Step 3: Cross multiply
    2,010.35x = 3,013.19 × 1,189.32
  4. Step 4: Simplify right side
    2,010.35x = 3,583,638.80
  5. Step 5: Solve for x
    x = 3,583,638.80/2,010.35
  6. Step 6: Final answer
    x = 1,782.59

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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.