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Finding the Fourth Proportional to 2,093.71, 3,140.96 and 998.16

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Solution

The fourth proportional to 2,093.71, 3,140.96 and 998.16 is: 1,497.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.71 : 3,140.96 = 998.16 : x
  2. Step 2: Convert to fraction form
    2,093.71/3,140.96 = 998.16/x
  3. Step 3: Cross multiply
    2,093.71x = 3,140.96 × 998.16
  4. Step 4: Simplify right side
    2,093.71x = 3,135,186.94
  5. Step 5: Solve for x
    x = 3,135,186.94/2,093.71
  6. Step 6: Final answer
    x = 1,497.43

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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.