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Finding the Fourth Proportional to 2,982.90, 4,120.41 and 2,292.90

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Solution

The fourth proportional to 2,982.90, 4,120.41 and 2,292.90 is: 3,167.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.90 : 4,120.41 = 2,292.90 : x
  2. Step 2: Convert to fraction form
    2,982.90/4,120.41 = 2,292.90/x
  3. Step 3: Cross multiply
    2,982.90x = 4,120.41 × 2,292.90
  4. Step 4: Simplify right side
    2,982.90x = 9,447,688.09
  5. Step 5: Solve for x
    x = 9,447,688.09/2,982.90
  6. Step 6: Final answer
    x = 3,167.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.