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Finding the Fourth Proportional to 2,054.97, 3,082.82 and 668.16

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Solution

The fourth proportional to 2,054.97, 3,082.82 and 668.16 is: 1,002.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.97 : 3,082.82 = 668.16 : x
  2. Step 2: Convert to fraction form
    2,054.97/3,082.82 = 668.16/x
  3. Step 3: Cross multiply
    2,054.97x = 3,082.82 × 668.16
  4. Step 4: Simplify right side
    2,054.97x = 2,059,813.67
  5. Step 5: Solve for x
    x = 2,059,813.67/2,054.97
  6. Step 6: Final answer
    x = 1,002.36

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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.