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Finding the Fourth Proportional to 2,731.09, 4,096.71 and 857.17

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Solution

The fourth proportional to 2,731.09, 4,096.71 and 857.17 is: 1,285.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.09 : 4,096.71 = 857.17 : x
  2. Step 2: Convert to fraction form
    2,731.09/4,096.71 = 857.17/x
  3. Step 3: Cross multiply
    2,731.09x = 4,096.71 × 857.17
  4. Step 4: Simplify right side
    2,731.09x = 3,511,556.43
  5. Step 5: Solve for x
    x = 3,511,556.43/2,731.09
  6. Step 6: Final answer
    x = 1,285.77

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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.