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Finding the Fourth Proportional to 2,057.81, 3,086.72 and 902.75

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Solution

The fourth proportional to 2,057.81, 3,086.72 and 902.75 is: 1,354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.81 : 3,086.72 = 902.75 : x
  2. Step 2: Convert to fraction form
    2,057.81/3,086.72 = 902.75/x
  3. Step 3: Cross multiply
    2,057.81x = 3,086.72 × 902.75
  4. Step 4: Simplify right side
    2,057.81x = 2,786,536.48
  5. Step 5: Solve for x
    x = 2,786,536.48/2,057.81
  6. Step 6: Final answer
    x = 1,354.13

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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.