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Finding the Fourth Proportional to 2,053.49, 3,078.83 and 737.22

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Solution

The fourth proportional to 2,053.49, 3,078.83 and 737.22 is: 1,105.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.49 : 3,078.83 = 737.22 : x
  2. Step 2: Convert to fraction form
    2,053.49/3,078.83 = 737.22/x
  3. Step 3: Cross multiply
    2,053.49x = 3,078.83 × 737.22
  4. Step 4: Simplify right side
    2,053.49x = 2,269,755.97
  5. Step 5: Solve for x
    x = 2,269,755.97/2,053.49
  6. Step 6: Final answer
    x = 1,105.32

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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.