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Finding the Fourth Proportional to 2,043, 3,067.57 and 1,166.49

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Solution

The fourth proportional to 2,043, 3,067.57 and 1,166.49 is: 1,751.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043 : 3,067.57 = 1,166.49 : x
  2. Step 2: Convert to fraction form
    2,043/3,067.57 = 1,166.49/x
  3. Step 3: Cross multiply
    2,043x = 3,067.57 × 1,166.49
  4. Step 4: Simplify right side
    2,043x = 3,578,289.73
  5. Step 5: Solve for x
    x = 3,578,289.73/2,043
  6. Step 6: Final answer
    x = 1,751.49

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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.