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Finding the Fourth Proportional to 2,008.26, 3,013.46 and 982.26

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Solution

The fourth proportional to 2,008.26, 3,013.46 and 982.26 is: 1,473.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.26 : 3,013.46 = 982.26 : x
  2. Step 2: Convert to fraction form
    2,008.26/3,013.46 = 982.26/x
  3. Step 3: Cross multiply
    2,008.26x = 3,013.46 × 982.26
  4. Step 4: Simplify right side
    2,008.26x = 2,960,001.22
  5. Step 5: Solve for x
    x = 2,960,001.22/2,008.26
  6. Step 6: Final answer
    x = 1,473.91

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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.