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Finding the Fourth Proportional to 1,337.28, 1,991.09 and 1,330.80

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Solution

The fourth proportional to 1,337.28, 1,991.09 and 1,330.80 is: 1,981.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.28 : 1,991.09 = 1,330.80 : x
  2. Step 2: Convert to fraction form
    1,337.28/1,991.09 = 1,330.80/x
  3. Step 3: Cross multiply
    1,337.28x = 1,991.09 × 1,330.80
  4. Step 4: Simplify right side
    1,337.28x = 2,649,742.57
  5. Step 5: Solve for x
    x = 2,649,742.57/1,337.28
  6. Step 6: Final answer
    x = 1,981.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.