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Finding the Fourth Proportional to 2,010.43, 3,013.21 and 853.75

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Solution

The fourth proportional to 2,010.43, 3,013.21 and 853.75 is: 1,279.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.43 : 3,013.21 = 853.75 : x
  2. Step 2: Convert to fraction form
    2,010.43/3,013.21 = 853.75/x
  3. Step 3: Cross multiply
    2,010.43x = 3,013.21 × 853.75
  4. Step 4: Simplify right side
    2,010.43x = 2,572,528.04
  5. Step 5: Solve for x
    x = 2,572,528.04/2,010.43
  6. Step 6: Final answer
    x = 1,279.59

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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.