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Finding the Fourth Proportional to 2,010.03, 3,016.13 and 839.85

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Solution

The fourth proportional to 2,010.03, 3,016.13 and 839.85 is: 1,260.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.03 : 3,016.13 = 839.85 : x
  2. Step 2: Convert to fraction form
    2,010.03/3,016.13 = 839.85/x
  3. Step 3: Cross multiply
    2,010.03x = 3,016.13 × 839.85
  4. Step 4: Simplify right side
    2,010.03x = 2,533,092.58
  5. Step 5: Solve for x
    x = 2,533,092.58/2,010.03
  6. Step 6: Final answer
    x = 1,260.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.