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Finding the Fourth Proportional to 1,329.84, 1,997.24 and 1,221.48

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Solution

The fourth proportional to 1,329.84, 1,997.24 and 1,221.48 is: 1,834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.84 : 1,997.24 = 1,221.48 : x
  2. Step 2: Convert to fraction form
    1,329.84/1,997.24 = 1,221.48/x
  3. Step 3: Cross multiply
    1,329.84x = 1,997.24 × 1,221.48
  4. Step 4: Simplify right side
    1,329.84x = 2,439,588.72
  5. Step 5: Solve for x
    x = 2,439,588.72/1,329.84
  6. Step 6: Final answer
    x = 1,834.50

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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.