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Finding the Fourth Proportional to 2,055.57, 3,083.52 and 668.87

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Solution

The fourth proportional to 2,055.57, 3,083.52 and 668.87 is: 1,003.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.57 : 3,083.52 = 668.87 : x
  2. Step 2: Convert to fraction form
    2,055.57/3,083.52 = 668.87/x
  3. Step 3: Cross multiply
    2,055.57x = 3,083.52 × 668.87
  4. Step 4: Simplify right side
    2,055.57x = 2,062,481.73
  5. Step 5: Solve for x
    x = 2,062,481.73/2,055.57
  6. Step 6: Final answer
    x = 1,003.36

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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.