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Finding the Fourth Proportional to 2,114.70, 3,171.64 and 798.20

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Solution

The fourth proportional to 2,114.70, 3,171.64 and 798.20 is: 1,197.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.70 : 3,171.64 = 798.20 : x
  2. Step 2: Convert to fraction form
    2,114.70/3,171.64 = 798.20/x
  3. Step 3: Cross multiply
    2,114.70x = 3,171.64 × 798.20
  4. Step 4: Simplify right side
    2,114.70x = 2,531,603.05
  5. Step 5: Solve for x
    x = 2,531,603.05/2,114.70
  6. Step 6: Final answer
    x = 1,197.15

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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.