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Finding the Fourth Proportional to 2,057.82, 3,086.72 and 902.76

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Solution

The fourth proportional to 2,057.82, 3,086.72 and 902.76 is: 1,354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.82 : 3,086.72 = 902.76 : x
  2. Step 2: Convert to fraction form
    2,057.82/3,086.72 = 902.76/x
  3. Step 3: Cross multiply
    2,057.82x = 3,086.72 × 902.76
  4. Step 4: Simplify right side
    2,057.82x = 2,786,567.35
  5. Step 5: Solve for x
    x = 2,786,567.35/2,057.82
  6. Step 6: Final answer
    x = 1,354.14

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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.