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Finding the Fourth Proportional to 2,057.81, 3,086.10 and 1,133.80

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Solution

The fourth proportional to 2,057.81, 3,086.10 and 1,133.80 is: 1,700.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.81 : 3,086.10 = 1,133.80 : x
  2. Step 2: Convert to fraction form
    2,057.81/3,086.10 = 1,133.80/x
  3. Step 3: Cross multiply
    2,057.81x = 3,086.10 × 1,133.80
  4. Step 4: Simplify right side
    2,057.81x = 3,499,012.46
  5. Step 5: Solve for x
    x = 3,499,012.46/2,057.81
  6. Step 6: Final answer
    x = 1,700.36

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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.