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Finding the Fourth Proportional to 2,093.46, 3,140.24 and 997.94

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Solution

The fourth proportional to 2,093.46, 3,140.24 and 997.94 is: 1,496.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.46 : 3,140.24 = 997.94 : x
  2. Step 2: Convert to fraction form
    2,093.46/3,140.24 = 997.94/x
  3. Step 3: Cross multiply
    2,093.46x = 3,140.24 × 997.94
  4. Step 4: Simplify right side
    2,093.46x = 3,133,750.41
  5. Step 5: Solve for x
    x = 3,133,750.41/2,093.46
  6. Step 6: Final answer
    x = 1,496.92

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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.