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Finding the Fourth Proportional to 1,989.38, 2,982.81 and 947.99

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Solution

The fourth proportional to 1,989.38, 2,982.81 and 947.99 is: 1,421.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.38 : 2,982.81 = 947.99 : x
  2. Step 2: Convert to fraction form
    1,989.38/2,982.81 = 947.99/x
  3. Step 3: Cross multiply
    1,989.38x = 2,982.81 × 947.99
  4. Step 4: Simplify right side
    1,989.38x = 2,827,674.05
  5. Step 5: Solve for x
    x = 2,827,674.05/1,989.38
  6. Step 6: Final answer
    x = 1,421.38

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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.