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Finding the Fourth Proportional to 2,096.73, 3,145.10 and 557.73

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Solution

The fourth proportional to 2,096.73, 3,145.10 and 557.73 is: 836.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.73 : 3,145.10 = 557.73 : x
  2. Step 2: Convert to fraction form
    2,096.73/3,145.10 = 557.73/x
  3. Step 3: Cross multiply
    2,096.73x = 3,145.10 × 557.73
  4. Step 4: Simplify right side
    2,096.73x = 1,754,116.62
  5. Step 5: Solve for x
    x = 1,754,116.62/2,096.73
  6. Step 6: Final answer
    x = 836.60

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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.