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Finding the Fourth Proportional to 2,982.69, 4,474.71 and 1,133.87

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Solution

The fourth proportional to 2,982.69, 4,474.71 and 1,133.87 is: 1,701.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.69 : 4,474.71 = 1,133.87 : x
  2. Step 2: Convert to fraction form
    2,982.69/4,474.71 = 1,133.87/x
  3. Step 3: Cross multiply
    2,982.69x = 4,474.71 × 1,133.87
  4. Step 4: Simplify right side
    2,982.69x = 5,073,717.05
  5. Step 5: Solve for x
    x = 5,073,717.05/2,982.69
  6. Step 6: Final answer
    x = 1,701.05

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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.