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Finding the Fourth Proportional to 2,010.49, 3,013.31 and 853.81

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Solution

The fourth proportional to 2,010.49, 3,013.31 and 853.81 is: 1,279.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.49 : 3,013.31 = 853.81 : x
  2. Step 2: Convert to fraction form
    2,010.49/3,013.31 = 853.81/x
  3. Step 3: Cross multiply
    2,010.49x = 3,013.31 × 853.81
  4. Step 4: Simplify right side
    2,010.49x = 2,572,794.21
  5. Step 5: Solve for x
    x = 2,572,794.21/2,010.49
  6. Step 6: Final answer
    x = 1,279.69

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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.