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Finding the Fourth Proportional to 2,982.07, 4,473.15 and 902.09

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Solution

The fourth proportional to 2,982.07, 4,473.15 and 902.09 is: 1,353.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.07 : 4,473.15 = 902.09 : x
  2. Step 2: Convert to fraction form
    2,982.07/4,473.15 = 902.09/x
  3. Step 3: Cross multiply
    2,982.07x = 4,473.15 × 902.09
  4. Step 4: Simplify right side
    2,982.07x = 4,035,183.88
  5. Step 5: Solve for x
    x = 4,035,183.88/2,982.07
  6. Step 6: Final answer
    x = 1,353.15

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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.