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Finding the Fourth Proportional to 2,095.43, 3,140.42 and 998.28

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Solution

The fourth proportional to 2,095.43, 3,140.42 and 998.28 is: 1,496.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.43 : 3,140.42 = 998.28 : x
  2. Step 2: Convert to fraction form
    2,095.43/3,140.42 = 998.28/x
  3. Step 3: Cross multiply
    2,095.43x = 3,140.42 × 998.28
  4. Step 4: Simplify right side
    2,095.43x = 3,135,013.49
  5. Step 5: Solve for x
    x = 3,135,013.49/2,095.43
  6. Step 6: Final answer
    x = 1,496.12

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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.