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Finding the Fourth Proportional to 1,333.97, 2,000.96 and 1,105.49

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Solution

The fourth proportional to 1,333.97, 2,000.96 and 1,105.49 is: 1,658.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.97 : 2,000.96 = 1,105.49 : x
  2. Step 2: Convert to fraction form
    1,333.97/2,000.96 = 1,105.49/x
  3. Step 3: Cross multiply
    1,333.97x = 2,000.96 × 1,105.49
  4. Step 4: Simplify right side
    1,333.97x = 2,212,041.27
  5. Step 5: Solve for x
    x = 2,212,041.27/1,333.97
  6. Step 6: Final answer
    x = 1,658.24

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1.5x scale

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.