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Finding the Fourth Proportional to 2,661.73, 3,992.86 and 906.73

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Solution

The fourth proportional to 2,661.73, 3,992.86 and 906.73 is: 1,360.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.73 : 3,992.86 = 906.73 : x
  2. Step 2: Convert to fraction form
    2,661.73/3,992.86 = 906.73/x
  3. Step 3: Cross multiply
    2,661.73x = 3,992.86 × 906.73
  4. Step 4: Simplify right side
    2,661.73x = 3,620,437.10
  5. Step 5: Solve for x
    x = 3,620,437.10/2,661.73
  6. Step 6: Final answer
    x = 1,360.18

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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.